{"id":311654,"date":"2024-01-27T09:08:11","date_gmt":"2024-01-27T02:08:11","guid":{"rendered":"https:\/\/hoanghamobile.com\/tin-tuc\/?p=311654"},"modified":"2024-01-27T09:08:11","modified_gmt":"2024-01-27T02:08:11","slug":"dien-tich-xung-quanh-hinh-tru","status":"publish","type":"post","link":"https:\/\/hoanghamobile.com\/tin-tuc\/dien-tich-xung-quanh-hinh-tru\/","title":{"rendered":"Di\u1ec7n t\u00edch xung quanh h\u00ecnh tr\u1ee5 v\u00e0 \u1ee9ng d\u1ee5ng"},"content":{"rendered":"<p><b>Di\u1ec7n t\u00edch xung quanh h\u00ecnh tr\u1ee5<\/b><span style=\"font-weight: 400;\"> l\u00e0 m\u1ed9t trong nh\u1eefng n\u1ed9i dung quan tr\u1ecdng c\u1ee7a m\u00f4n to\u00e1n h\u00ecnh h\u1ecdc kh\u00f4ng gian. V\u1eady c\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch xung quanh c\u1ee7a h\u00ecnh tr\u1ee5 l\u00e0 g\u00ec? \u1ee8ng d\u1ee5ng c\u1ee7a h\u00ecnh tr\u1ee5 trong \u0111\u1eddi s\u1ed1ng th\u1ef1c ti\u1ec5n? M\u1eddi c\u00e1c b\u1ea1n theo d\u00f5i b\u00e0i vi\u1ebft d\u01b0\u1edbi \u0111\u00e2y c\u1ee7a Ho\u00e0ng H\u00e0 Mobile \u0111\u1ec3 bi\u1ebft th\u00eam nh\u1eefng th\u00f4ng tin th\u00fa v\u1ecb nh\u00e9!\u00a0<\/span><\/p>\n<h2><span style=\"font-weight: 400;\">H\u00ecnh tr\u1ee5 l\u00e0 g\u00ec?\u00a0<\/span><\/h2>\n<p><span style=\"font-weight: 400;\">Trong h\u1ecdc ph\u1ea7n h\u00ecnh h\u1ecdc kh\u00f4ng gian, h\u00ecnh tr\u1ee5 \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng ph\u1ed5 bi\u1ebfn, \u1ee9ng d\u1ee5ng v\u00e0o c\u00e1c b\u00e0i t\u1eadp t\u1eeb c\u01a1 b\u1ea3n \u0111\u1ebfn n\u00e2ng cao. Khi quay h\u00ecnh ch\u1eef nh\u1eadt ABCD quanh c\u1ea1nh CD m\u1ed9t v\u00f2ng ta s\u1ebd thu \u0111\u01b0\u1ee3c m\u1ed9t h\u00ecnh tr\u1ee5. Theo \u0111\u00f3, \u0111\u00e1y c\u1ee7a h\u00ecnh tr\u1ee5 l\u00e0 h\u00ecnh tr\u00f2n b\u1eb1ng nhau v\u00e0 c\u00f9ng n\u1eb1m tr\u00ean hai m\u1eb7t ph\u1eb3ng song song. Tr\u1ee5c c\u1ee7a h\u00ecnh tr\u1ee5 l\u00e0 c\u1ea1nh DC v\u00e0 \u0111\u01b0\u1eddng sinh c\u1ee7a h\u00ecnh tr\u1ee5 ch\u00ednh l\u00e0 \u0111\u01b0\u1eddng cao. D\u1ef1a v\u00e0o nh\u1eefng \u0111\u1eb7c \u0111i\u1ec3m n\u00e0y, c\u00e1c b\u1ea1n s\u1ebd t\u00ednh \u0111\u01b0\u1ee3c <\/span><b>di\u1ec7n t\u00edch xung quanh h\u00ecnh tr\u1ee5<\/b><span style=\"font-weight: 400;\">, di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n hay th\u1ec3 t\u00edch.\u00a0<\/span><\/p>\n<p><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/01\/dien-tich-xung-quanh-hinh-tru-2.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/01\/dien-tich-xung-quanh-hinh-tru-2-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/01\/dien-tich-xung-quanh-hinh-tru-2-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img fetchpriority=\"high\" decoding=\"async\" class=\"size-full wp-image-312142 aligncenter webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/dien-tich-xung-quanh-hinh-tru-2.jpg\" alt=\"dien-tich-xung-quanh-hinh-tru-2\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/dien-tich-xung-quanh-hinh-tru-2.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/dien-tich-xung-quanh-hinh-tru-2-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/dien-tich-xung-quanh-hinh-tru-2-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><\/p>\n<p><span style=\"font-weight: 400;\">Qua c\u00e1ch gi\u1ea3i th\u00edch tr\u00ean ch\u1eafc h\u1eb3n c\u00e1c b\u1ea1n \u0111\u00e3 h\u00ecnh dung \u0111\u01b0\u1ee3c nh\u01b0 th\u1ebf n\u00e0o l\u00e0 h\u00ecnh tr\u1ee5. Do h\u00ecnh tr\u1ee5 c\u00f3 nh\u1eefng \u0111\u1eb7c t\u00ednh ri\u00eang nh\u01b0 kh\u1ea3 n\u0103ng ch\u1ecbu l\u1ef1c, kh\u1ea3 n\u0103ng l\u01b0u tr\u1eef kh\u00f4ng gian t\u1ed1t h\u01a1n so v\u1edbi m\u1ed9t s\u1ed1 h\u00ecnh h\u1ecdc kh\u00e1c n\u00ean c\u00e1c b\u1ea1n s\u1ebd b\u1eaft g\u1eb7p kh\u00e1 nhi\u1ec1u h\u00ecnh h\u1ecdc n\u00e0y. M\u1ed9t s\u1ed1 v\u1eadt d\u1ee5ng c\u00f3 d\u1ea1ng h\u00ecnh tr\u1ee5 nh\u01b0 lon n\u01b0\u1edbc, \u0111\u01b0\u1eddng \u1ed1ng n\u01b0\u1edbc, c\u1ed9t tr\u1ee5.\u00a0<\/span><\/p>\n<h2><span style=\"font-weight: 400;\">C\u00e1c c\u00f4ng th\u1ee9c li\u00ean quan \u0111\u1ebfn h\u00ecnh tr\u1ee5\u00a0<\/span><\/h2>\n<p><span style=\"font-weight: 400;\">Nh\u01b0 ch\u00fang t\u00f4i \u0111\u00e3 chia s\u1ebb \u1edf tr\u00ean, h\u00ecnh tr\u1ee5 \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng nhi\u1ec1u trong cu\u1ed9c s\u1ed1ng h\u00e0ng ng\u00e0y. V\u00ec v\u1eady, m\u1ecdi ng\u01b0\u1eddi c\u1ea7n bi\u1ebft c\u00e1ch t\u00ednh di\u1ec7n t\u00edch xung quanh, di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n, th\u1ec3 t\u00edch c\u1ee7a h\u00ecnh h\u1ecdc kh\u00f4ng gian n\u00e0y. Sau \u0111\u00e2y, ch\u00fang t\u00f4i s\u1ebd t\u1ed5ng h\u1ee3p c\u00f4ng th\u1ee9c t\u00ednh to\u00e1n li\u00ean quan \u0111\u1ebfn h\u00ecnh tr\u1ee5 cho c\u00e1c b\u1ea1n tham kh\u1ea3o:\u00a0<\/span><\/p>\n<h3><span style=\"font-weight: 400;\">Di\u1ec7n t\u00edch xung quanh h\u00ecnh tr\u1ee5\u00a0<\/span><\/h3>\n<p><span style=\"font-weight: 400;\">Tr\u01b0\u1edbc ti\u00ean, ch\u00fang ta s\u1ebd t\u00ecm hi\u1ec3u c\u00e1ch t\u00ednh di\u1ec7n t\u00edch xung quanh c\u1ee7a h\u00ecnh tr\u1ee5 t\u1ee9c l\u00e0 ph\u1ea7n di\u1ec7n t\u00edch m\u1eb7t bao quanh, kh\u00f4ng g\u1ed3m di\u1ec7n t\u00edch c\u1ee7a hai \u0111\u00e1y. \u0110\u1ec3 t\u00ednh di\u1ec7n t\u00edch xung quanh c\u1ee7a h\u00ecnh tr\u1ee5, c\u00e1c b\u1ea1n h\u00e3y l\u1ea5y chu vi c\u1ee7a \u0111\u01b0\u1eddng tr\u00f2n \u0111\u00e1y r\u1ed3i nh\u00e2n v\u1edbi chi\u1ec1u cao.\u00a0<\/span><\/p>\n<p><strong>Sxq = 2\u03c0rh<\/strong><b>\u00a0<\/b><\/p>\n<p><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/01\/dien-tich-xung-quanh-hinh-tru-3.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/01\/dien-tich-xung-quanh-hinh-tru-3-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/01\/dien-tich-xung-quanh-hinh-tru-3-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img decoding=\"async\" class=\"size-full wp-image-312143 aligncenter webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/dien-tich-xung-quanh-hinh-tru-3.jpg\" alt=\"dien-tich-xung-quanh-hinh-tru-3\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/dien-tich-xung-quanh-hinh-tru-3.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/dien-tich-xung-quanh-hinh-tru-3-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/dien-tich-xung-quanh-hinh-tru-3-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><\/p>\n<p><span style=\"font-weight: 400;\">Trong \u0111\u00f3:\u00a0<\/span><\/p>\n<ul>\n<li><span style=\"font-weight: 400;\">Sxq l\u00e0 di\u1ec7n t\u00edch xung quanh.\u00a0<\/span><\/li>\n<li><span style=\"font-weight: 400;\">2<\/span><span style=\"font-weight: 400;\">\u03c0r <\/span><span style=\"font-weight: 400;\">l\u00e0 c\u00e1ch t\u00ednh chu vi \u0111\u01b0\u1eddng tr\u00f2n \u0111\u00e1y.\u00a0<\/span><\/li>\n<li><span style=\"font-weight: 400;\">h l\u00e0 chi\u1ec1u cao c\u1ee7a h\u00ecnh tr\u1ee5.<\/span><\/li>\n<\/ul>\n<h3><span style=\"font-weight: 400;\">Di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n c\u1ee7a h\u00ecnh tr\u1ee5\u00a0<\/span><\/h3>\n<p><span style=\"font-weight: 400;\">T\u00ednh di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n c\u1ee7a h\u00ecnh tr\u1ee5 s\u1ebd bao g\u1ed3m di\u1ec7n t\u00edch xung quanh + di\u1ec7n t\u00edch c\u1ee7a hai m\u1eb7t \u0111\u00e1y. Nh\u01b0 v\u1eady, \u0111\u1ec3 t\u00ednh \u0111\u01b0\u1ee3c di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n c\u1ee7a h\u00ecnh tr\u1ee5, ch\u00fang ta s\u1ebd l\u1ea5y di\u1ec7n t\u00edch xung quanh r\u1ed3i c\u1ed9ng th\u00eam di\u1ec7n t\u00edch c\u1ee7a hai m\u1eb7t \u0111\u00e1y.\u00a0<\/span><\/p>\n<p><strong>Stp = 2\u03c0r^2 + 2\u03c0rh\u00a0<\/strong><\/p>\n<p><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/01\/dien-tich-xung-quanh-hinh-tru-4.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/01\/dien-tich-xung-quanh-hinh-tru-4-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/01\/dien-tich-xung-quanh-hinh-tru-4-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img decoding=\"async\" class=\"size-full wp-image-312144 aligncenter webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/dien-tich-xung-quanh-hinh-tru-4.jpg\" alt=\"dien-tich-xung-quanh-hinh-tru-4\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/dien-tich-xung-quanh-hinh-tru-4.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/dien-tich-xung-quanh-hinh-tru-4-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/dien-tich-xung-quanh-hinh-tru-4-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><\/p>\n<p><span style=\"font-weight: 400;\">Trong \u0111\u00f3:\u00a0<\/span><\/p>\n<ul>\n<li><span style=\"font-weight: 400;\">Stp &#8211; vi\u1ebft t\u1eaft c\u1ee7a c\u1ee5m t\u1eeb di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n.\u00a0<\/span><\/li>\n<li><span style=\"font-weight: 400;\">2\u03c0r^2 l\u00e0 di\u1ec7n t\u00edch c\u1ee7a m\u1eb7t \u0111\u00e1y (\u0111\u01b0\u1eddng tr\u00f2n).<\/span><\/li>\n<li><span style=\"font-weight: 400;\">2\u03c0rh l\u00e0 di\u1ec7n t\u00edch xung quanh c\u1ee7a h\u00ecnh tr\u1ee5.\u00a0<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">Sau khi t\u00ecm hi\u1ec3u c\u00f4ng th\u1ee9c t\u00ednh <\/span><b>di\u1ec7n t\u00edch xung quanh h\u00ecnh tr\u1ee5<\/b><span style=\"font-weight: 400;\"> v\u00e0 di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n, c\u00e1c b\u1ea1n c\u00f3 th\u1ec3 th\u1ea5y c\u00e1ch t\u00ednh kh\u00e1 \u0111\u01a1n gi\u1ea3n. Ch\u00fang t\u00f4i s\u1ebd l\u1ea5y v\u00ed d\u1ee5 c\u1ee5 th\u1ec3 \u0111\u1ec3 cho m\u1ecdi ng\u01b0\u1eddi d\u1ec5 h\u00ecnh dung h\u01a1n nh\u00e9!\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">B\u00e0i t\u1eadp cho h\u00ecnh tr\u1ee5 c\u00f3 b\u00e1n k\u00ednh r = 5cm, chi\u1ec1u cao h = 10cm. Y\u00eau c\u1ea7u t\u00ednh di\u1ec7n t\u00edch xung quanh, di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n c\u1ee7a h\u00ecnh tr\u1ee5.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">C\u00e1ch gi\u1ea3i:\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Theo d\u1eef li\u1ec7u c\u1ee7a \u0111\u1ec1 b\u00e0i ch\u00fang ta \u0111\u00e3 bi\u1ebft \u0111\u01b0\u1ee3c b\u00e1nh k\u00ednh m\u1eb7t \u0111\u00e1y v\u00e0 chi\u1ec1u cao h\u00ecnh tr\u1ee5. Do \u0111\u00f3, ch\u00fang ta ch\u1ec9 c\u1ea7n \u00e1p d\u1ee5ng c\u00f4ng th\u1ee9c r\u1ed3i t\u00ednh to\u00e1n ra k\u1ebft qu\u1ea3. Di\u1ec7n t\u00edch xung quanh c\u1ee7a h\u00ecnh tr\u1ee5 Sxq = 2\u03c0rh = 1 x 3,14 x 5 x 10 = 314 cm2. Sau khi t\u00ednh \u0111\u01b0\u1ee3c di\u1ec7n t\u00edch xung quanh, ch\u00fang ta s\u1ebd t\u00ecm di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n c\u1ee7a h\u00ecnh tr\u1ee5 b\u1eb1ng Stp = 2\u03c0r^2 + 2\u03c0rh = 2 x 3,14 x 5^2 + 314 = 471 cm2.\u00a0<\/span><\/p>\n<h3><span style=\"font-weight: 400;\">Th\u1ec3 t\u00edch h\u00ecnh tr\u1ee5\u00a0<\/span><\/h3>\n<p><span style=\"font-weight: 400;\">T\u00ednh th\u1ec3 t\u00edch h\u00ecnh tr\u1ee5 l\u00e0 m\u1ed9t trong nh\u1eefng n\u1ed9i dung m\u00e0 c\u00e1c b\u1ea1n c\u1ea7n n\u1eafm \u0111\u01b0\u1ee3c b\u00ean c\u1ea1nh c\u00e1ch t\u00ednh <\/span><b>di\u1ec7n t\u00edch xung quanh h\u00ecnh tr\u1ee5<\/b><span style=\"font-weight: 400;\">, di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n. C\u00e1ch t\u00ednh th\u1ec3 t\u00edch c\u1ee7a h\u00ecnh tr\u1ee5 c\u0169ng kh\u00e1 \u0111\u01a1n gi\u1ea3n, c\u00e1c b\u1ea1n h\u00e3y l\u1ea5y di\u1ec7n t\u00edch m\u1eb7t \u0111\u00e1y r\u1ed3i nh\u00e2n v\u1edbi chi\u1ec1u cao.\u00a0<\/span><\/p>\n<p><strong>V = \u03a0r^2h\u00a0<\/strong><\/p>\n<p><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/01\/dien-tich-xung-quanh-hinh-tru-5.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/01\/dien-tich-xung-quanh-hinh-tru-5-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/01\/dien-tich-xung-quanh-hinh-tru-5-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-312145 aligncenter webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/dien-tich-xung-quanh-hinh-tru-5.jpg\" alt=\"dien-tich-xung-quanh-hinh-tru-5\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/dien-tich-xung-quanh-hinh-tru-5.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/dien-tich-xung-quanh-hinh-tru-5-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/dien-tich-xung-quanh-hinh-tru-5-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><\/p>\n<p><span style=\"font-weight: 400;\">Trong \u0111\u00f3:\u00a0<\/span><\/p>\n<ul>\n<li><span style=\"font-weight: 400;\">V l\u00e0 k\u00fd hi\u1ec7u d\u00f9ng \u0111\u1ec3 ch\u1ec9 th\u1ec3 t\u00edch c\u1ee7a h\u00ecnh tr\u1ee5.\u00a0<\/span><\/li>\n<li><span style=\"font-weight: 400;\">\u03c0r^2 l\u00e0 di\u1ec7n t\u00edch c\u1ee7a m\u1eb7t \u0111\u00e1y.\u00a0<\/span><\/li>\n<li><span style=\"font-weight: 400;\">h l\u00e0 chi\u1ec1u cao c\u1ee7a h\u00ecnh tr\u1ee5.\u00a0<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">\u0110\u1ec3 gi\u00fap c\u00e1c b\u1ea1n hi\u1ec3u h\u01a1n v\u1ec1 c\u00e1ch t\u00ednh th\u1ec3 t\u00edch h\u00ecnh tr\u1ee5, ch\u00fang t\u00f4i s\u1ebd l\u1ea5y v\u00ed d\u1ee5 qua b\u00e0i to\u00e1n c\u1ee5 th\u1ec3. Ch\u1eb3ng h\u1ea1n nh\u01b0 cho m\u1ed9t h\u00ecnh tr\u1ee5 c\u00f3 b\u00e1n k\u00ednh r = 5cm, chi\u1ec1u cao h = 10cm. Th\u1ec3 t\u00edch c\u1ee7a h\u00ecnh tr\u1ee5 n\u00e0y s\u1ebd b\u1eb1ng V = 3,14 x 5^2 x 10 = 785 cm3.\u00a0<\/span><\/p>\n<h2><span style=\"font-weight: 400;\">M\u1ed9t s\u1ed1 b\u00e0i t\u1eadp v\u1ec1 h\u00ecnh tr\u1ee5\u00a0<\/span><\/h2>\n<p><span style=\"font-weight: 400;\">H\u00ecnh tr\u1ee5 l\u00e0 m\u1ed9t h\u00ecnh h\u1ecdc kh\u00f4ng gian \u0111\u01b0\u1ee3c t\u00ecm hi\u1ec3u trong h\u1ecdc ph\u1ea7n to\u00e1n h\u00ecnh l\u1edbp 9 v\u00e0 c\u00f3 t\u00ednh \u1ee9ng d\u1ee5ng cao. Sau khi t\u00ecm hi\u1ec3u ki\u1ebfn th\u1ee9c l\u00fd thuy\u1ebft, \u0111\u1ec3 gi\u00fap c\u00e1c b\u1ea1n hi\u1ec3u r\u00f5 h\u01a1n d\u1ea1ng h\u00ecnh h\u1ecdc n\u00e0y, ch\u00fang t\u00f4i s\u1ebd l\u1ea5y b\u00e0i t\u1eadp minh ho\u1ea1, c\u1ee5 th\u1ec3:\u00a0<\/span><\/p>\n<h3><span style=\"font-weight: 400;\">B\u00e0i 1<\/span><\/h3>\n<p><span style=\"font-weight: 400;\">Cho m\u1ed9t h\u00ecnh tr\u1ee5 v\u1edbi chu vi \u0111\u00e1y l\u00e0 8\u03c0, chi\u1ec1u cao h = 10. Y\u00eau c\u1ea7u c\u00e1c b\u1ea1n h\u00e3y t\u00ednh th\u1ec3 t\u00edch c\u1ee7a h\u00ecnh tr\u1ee5.\u00a0<\/span><\/p>\n<ol>\n<li><span style=\"font-weight: 400;\"> 80\u03c0<\/span><\/li>\n<li><span style=\"font-weight: 400;\"> 40\u03c0<\/span><\/li>\n<li><span style=\"font-weight: 400;\"> 160\u03c0<\/span><\/li>\n<li><span style=\"font-weight: 400;\"> 150\u03c0<\/span><\/li>\n<\/ol>\n<p><span style=\"font-weight: 400;\">C\u00e1ch l\u00e0m:\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u0110\u1ec3 t\u00ednh \u0111\u01b0\u1ee3c th\u1ec3 t\u00ednh h\u00ecnh tr\u1ee5, \u0111\u1ea7u ti\u00ean ta c\u1ea7n t\u00ednh chu vi \u0111\u00e1y. C = 2\u03c0r = 8\u03c0 =&gt; r = 4. Nh\u01b0 v\u1eady, th\u1ec3 t\u00edch h\u00ecnh tr\u1ee5 s\u1ebd b\u1eb1ng V = \u03a0r^2h = 160\u03a0 =&gt; C l\u00e0 \u0111\u00e1p \u00e1n ch\u00ednh x\u00e1c c\u1ee7a c\u00e2u h\u1ecfi n\u00e0y.\u00a0<\/span><\/p>\n<h3><span style=\"font-weight: 400;\">B\u00e0i 2<\/span><\/h3>\n<p><span style=\"font-weight: 400;\">M\u1ed9t h\u00ecnh tr\u1ee5 c\u00f3 m\u1eb7t \u0111\u00e1y b\u00e1n k\u00ednh r = 4cm, chi\u1ec1u cao h = 5cm. B\u1ea1n h\u00e3y t\u00ednh<\/span><b> di\u1ec7n t\u00edch xung quanh h\u00ecnh tr\u1ee5<\/b><span style=\"font-weight: 400;\"> \u0111\u00f3?\u00a0<\/span><\/p>\n<ol>\n<li><span style=\"font-weight: 400;\"> 40\u03a0\u00a0<\/span><\/li>\n<li><span style=\"font-weight: 400;\"> 30\u03a0<\/span><\/li>\n<li><span style=\"font-weight: 400;\"> 20\u03a0 <\/span><\/li>\n<li>50\u03a0<\/li>\n<\/ol>\n<p><span style=\"font-weight: 400;\">C\u00e1ch l\u00e0m: V\u1edbi b\u00e0i t\u1eadp n\u00e0y \u0111\u00e3 c\u00f3 \u0111\u1ee7 th\u00f4ng tin, d\u1eef li\u1ec7u c\u1ee7a h\u00ecnh tr\u1ee5, c\u00e1c b\u1ea1n ch\u1ec9 c\u1ea7n \u00e1p d\u1ee5ng c\u00f4ng th\u1ee9c Sxq = 2\u03c0Rh = 2\u03c0.4.5 = 40\u03c0 =&gt; ch\u1ecdn \u0111\u00e1p \u00e1n A l\u00e0 chu\u1ea9n x\u00e1c.\u00a0<\/span><\/p>\n<h3><span style=\"font-weight: 400;\">B\u00e0i 3<\/span><\/h3>\n<p><span style=\"font-weight: 400;\">Ti\u1ebfp t\u1ee5c cho m\u1ed9t h\u00ecnh tr\u1ee5 c\u00f3 b\u00e1n k\u00ednh \u0111\u00e1y r = 8cm v\u00e0 bi\u1ebft t\u00edch di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n b\u1eb1ng 564\u03c0 cm2. B\u1ea1n h\u00e3y t\u00ednh chi\u1ec1u cao c\u1ee7a h\u00ecnh tr\u1ee5 r\u1ed3i khoanh v\u00e0o \u0111\u00e1p \u00e1n ch\u00ednh x\u00e1c?\u00a0<\/span><\/p>\n<ol>\n<li><span style=\"font-weight: 400;\"> 27 cm\u00a0<\/span><\/li>\n<li><span style=\"font-weight: 400;\"> 27,25 cm\u00a0<\/span><\/li>\n<li><span style=\"font-weight: 400;\"> 25 cm\u00a0<\/span><\/li>\n<li><span style=\"font-weight: 400;\"> 25,27 cm\u00a0<\/span><\/li>\n<\/ol>\n<p><span style=\"font-weight: 400;\">C\u00e1ch l\u00e0m: C\u00f3 th\u1ec3 th\u1ea5y d\u1ea1ng b\u00e0i t\u1eadp n\u00e0y \u0111\u00e3 c\u00f3 s\u1ef1 thay \u0111\u1ed5i, kh\u00e1c so v\u1edbi nh\u1eefng b\u00e0i t\u1eadp tr\u01b0\u1edbc \u0111\u00f3. \u0110\u1ec3 t\u00ednh chi\u1ec1u cao c\u1ee7a h\u00ecnh tr\u1ee5, ch\u00fang ta s\u1ebd \u00e1p d\u1ee5ng c\u00f4ng th\u1ee9c:<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Stp = 2\u03c0r^2 + 2\u03c0rh\u00a0 = 256 \u03a0\u00a0 =&gt; 16\u03a0h + 2\u03a08^2 = 564\u03a0 =&gt; h = 27,25 cm. Nh\u01b0 v\u1eady, t\u00ecm \u0111\u01b0\u1ee3c chi\u1ec1u cao c\u1ee7a h\u00ecnh tr\u1ee5 b\u1eb1ng 27,25cm -&gt; khoanh v\u00e0o \u0111\u00e1p \u00e1n B.\u00a0<\/span><\/p>\n<h3><span style=\"font-weight: 400;\">B\u00e0i 4<\/span><\/h3>\n<p><span style=\"font-weight: 400;\">Cho m\u1ed9t h\u00ecnh tr\u1ee5 c\u00f3 b\u00e1n k\u00ednh r v\u00e0 chi\u1ec1u cao h, n\u1ebfu t\u0103ng chi\u1ec1u cao \u0111\u1ed3ng th\u1eddi gi\u1ea3m b\u00e1n k\u00ednh \u0111\u00e1y 2 l\u1ea7n th\u00ec:\u00a0<\/span><\/p>\n<ol>\n<li><span style=\"font-weight: 400;\"> Th\u1ec3 t\u00edch c\u1ee7a h\u00ecnh tr\u1ee5 gi\u1eef nguy\u00ean\u00a0<\/span><\/li>\n<li>Di\u1ec7n t\u00edch xung quanh h\u00ecnh tr\u1ee5<span style=\"font-weight: 400;\"> gi\u1eef nguy\u00ean\u00a0<\/span><\/li>\n<li><span style=\"font-weight: 400;\"> Gi\u1eef nguy\u00ean di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n c\u1ee7a h\u00ecnh tr\u1ee5\u00a0<\/span><\/li>\n<li><span style=\"font-weight: 400;\"> Kh\u00f4ng thay \u0111\u1ed5i chu vi \u0111\u00e1y h\u00ecnh tr\u1ee5\u00a0<\/span><\/li>\n<\/ol>\n<p><span style=\"font-weight: 400;\">C\u00e1ch l\u00e0m:\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u0110\u1ea7u ti\u00ean, ch\u00fang ta s\u1ebd x\u00e1c \u0111\u1ecbnh chi\u1ec1u cao m\u1edbi c\u1ee7a h\u00ecnh tr\u1ee5 = 2h v\u00e0 b\u00e1n k\u00ednh m\u1edbi l\u00e0 r\/2. D\u1ef1a v\u00e0o \u0111\u00e2y, ch\u00fang ta s\u1ebd \u0111i t\u00ecm chu vi \u0111\u00e1y = 2\u03a0r\u2019 = 2\u03a0 r\/2 = \u03a0r &lt; 2\u03a0r = C =&gt; D l\u00e0 \u0111\u00e1p \u00e1n sai.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Ti\u1ebfp t\u1ee5c x\u00e9t \u0111\u1ebfn di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n c\u1ee7a h\u00ecnh tr\u1ee5:\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">2\u03a0R\u2019h + 2\u03a0R\u20192 = 2\u03a0Rh + \u03a0R2\/2 kh\u00e1c v\u1edbi 2\u03a0Rh + 2\u03a0R2 =&gt; B l\u00e0 \u0111\u00e1p \u00e1n sai\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u0110\u1ec3 t\u00ednh di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n c\u1ee7a h\u00ecnh tr\u1ee5 ta \u00e1p d\u1ee5ng c\u00f4ng th\u1ee9c:\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">2\u03a0R\u2019h = 2\u03a0R\/2.2h = 2\u03a0Rh =&gt; C l\u00e0 \u0111\u00e1p \u00e1n \u0111\u00fang.\u00a0<\/span><\/p>\n<h3><span style=\"font-weight: 400;\">B\u00e0i 5<\/span><\/h3>\n<p><span style=\"font-weight: 400;\">Cho m\u1ed9t h\u1ed9p s\u1eefa \u00f4ng Th\u1ecd \u0111\u00e3 b\u1ecf n\u1eafp c\u00f3 d\u1ea1ng h\u00ecnh tr\u1ee5 chi\u1ec1u cao h = 12cm, \u0111\u01b0\u1eddng k\u00ednh \u0111\u00e1y l\u00e0 8cm. H\u00e3y t\u00ednh di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n c\u1ee7a h\u1ed9p s\u1eefa \u00f4ng Th\u1ecd.\u00a0<\/span><\/p>\n<ol>\n<li><span style=\"font-weight: 400;\"> 110\u03a0 (cm2)<\/span><\/li>\n<li><span style=\"font-weight: 400;\"> 128\u03a0 (cm2)\u00a0<\/span><\/li>\n<li><span style=\"font-weight: 400;\"> 96\u03a0 (cm2)<\/span><\/li>\n<li><span style=\"font-weight: 400;\"> 112\u03a0 (cm2)\u00a0<\/span><\/li>\n<\/ol>\n<p><span style=\"font-weight: 400;\">C\u00e1ch l\u00e0m:\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">V\u1edbi th\u00f4ng tin \u0111\u00e3 cho, ch\u00fang ta d\u1ec5 d\u00e0ng t\u00ednh \u0111\u01b0\u1ee3c di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n c\u1ee7a h\u1ed9p s\u1eefa theo c\u00f4ng th\u1ee9c:\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Stp = Sxq + Sd = \u03a0dh + \u03a0(d\/2)2\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">= \u03a0.8.12 + \u03a0.(8\/2)2 = 112\u03a0 (cm2)\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">=&gt; Ch\u1ecdn D l\u00e0 di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n c\u1ee7a h\u1ed9p s\u1eefa \u00f4ng Th\u1ecd \u0111\u00e3 cho.\u00a0<\/span><\/p>\n<h3><span style=\"font-weight: 400;\">B\u00e0i 6<\/span><\/h3>\n<p><span style=\"font-weight: 400;\">Cho m\u1ed9t h\u00ecnh tr\u1ee5 cho b\u00e1n k\u00ednh \u0111\u00e1y l\u00e0 R v\u00e0 chi\u1ec1u cao l\u00e0 h. N\u1ebfu t\u0103ng chi\u1ec1u cao h\u00ecnh tr\u1ee5 l\u00ean hai l\u1ea7n \u0111\u1ed3ng th\u1eddi gi\u1ea3m b\u00e1n k\u00ednh hai l\u1ea7n th\u00ec<\/span><\/p>\n<ol>\n<li><span style=\"font-weight: 400;\"> Th\u1ec3 t\u00edch h\u00ecnh tr\u1ee5 kh\u00f4ng \u0111\u1ed5i\u00a0<\/span><\/li>\n<li><span style=\"font-weight: 400;\"> Di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n kh\u00f4ng \u0111\u1ed5i\u00a0<\/span><\/li>\n<li><span style=\"font-weight: 400;\"> Di\u1ec7n t\u00edch xung quanh kh\u00f4ng \u0111\u1ed5i\u00a0<\/span><\/li>\n<li><span style=\"font-weight: 400;\"> Chu vi \u0111\u00e1y kh\u00f4ng \u0111\u1ed5i\u00a0<\/span><\/li>\n<\/ol>\n<p><span style=\"font-weight: 400;\">C\u00e1ch l\u00e0m:\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">B\u00ean c\u1ea1nh d\u1ea1ng b\u00e0i t\u00ednh <\/span><b>di\u1ec7n t\u00edch xung quanh h\u00ecnh tr\u1ee5<\/b><span style=\"font-weight: 400;\">, c\u00e1c b\u1ea1n c\u1ea7n n\u1eafm ch\u1eafc ki\u1ebfn th\u1ee9c li\u00ean quan \u0111\u1ebfn d\u1ea1ng h\u00ecnh h\u1ecdc kh\u00f4ng gian n\u00e0y. \u0110\u1ea7u ti\u00ean, ch\u00fang ta s\u1ebd \u0111\u1eb7t chi\u1ec1u cao m\u1edbi cho h\u00ecnh tr\u1ee5 l\u00e0 h\u2019 = 2h =&gt; t\u1eeb \u0111\u00e2y suy ra b\u00e1n k\u00ednh m\u1edbi c\u1ee7a m\u1eb7t \u0111\u00e1y s\u1ebd l\u00e0 R\u2019 = R\/2.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Theo \u0111\u00f3, h\u00ecnh tr\u1ee5 m\u1edbi c\u00f3 chu vi \u0111\u00e1y 2\u03a0R\u2019 = 2\u03a0R\/2 = \u03a0R &lt; 2\u03a0R = C =&gt; \u0111\u00e1p \u00e1n D kh\u00f4ng ch\u00ednh x\u00e1c.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n c\u1ee7a h\u00ecnh tr\u1ee5 m\u1edbi \u0111\u01b0\u1ee3c x\u00e1c \u0111\u1ecbnh: 2\u03a0R\u2019h + 2\u03a0R2 = 2\u03a0Rh + \u03a0R2\/2 kh\u00e1c v\u1edbi 2\u03a0R2 =&gt; \u0110\u00e1p \u00e1n B c\u0169ng ch\u01b0a ch\u00ednh x\u00e1c.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Ti\u1ebfp theo, ch\u00fang ta s\u1ebd t\u00ednh th\u1ec3 t\u00edch c\u1ee7a h\u00ecnh tr\u1ee5 m\u1edbi: \u03a0R\u20192h = \u03a0R2h\/ 4 kh\u00e1c v\u1edbi \u03a0R2h =&gt; A c\u0169ng l\u00e0 \u0111\u00e1p \u00e1n ch\u01b0a ch\u00ednh x\u00e1c.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Cu\u1ed1i c\u00f9ng, ch\u00fang ta s\u1ebd t\u00ednh di\u1ec7n t\u00edch xung quanh c\u1ee7a h\u00ecnh tr\u1ee5 m\u1edbi:\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">2\u03a0R\u2019h = 2\u03a0R\/2.2h = 2\u03a0Rh =&gt; C l\u00e0 \u0111\u00e1p \u00e1n ch\u00ednh x\u00e1c.\u00a0<\/span><\/p>\n<h3><span style=\"font-weight: 400;\">B\u00e0i 7<\/span><\/h3>\n<p><span style=\"font-weight: 400;\">Cho h\u00ecnh tr\u1ee5 c\u00f3 b\u00e1n k\u00ednh \u0111\u00e1y l\u00e0 R v\u00e0 chi\u1ec1u cao l\u00e0 h. N\u1ebfu gi\u1ea3m \u0111i chi\u1ec1u cao 9 l\u1ea7n \u0111\u1ed3ng th\u1eddi t\u0103ng b\u00e1n k\u00ednh \u0111\u00e1y l\u00ean 3 l\u1ea7n th\u00ec:<\/span><\/p>\n<ol>\n<li><span style=\"font-weight: 400;\"> Th\u1ec3 t\u00edch h\u00ecnh tr\u1ee5 kh\u00f4ng \u0111\u1ed5i\u00a0<\/span><\/li>\n<li><span style=\"font-weight: 400;\"> Di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n kh\u00f4ng \u0111\u1ed5i\u00a0<\/span><\/li>\n<li><span style=\"font-weight: 400;\"> Di\u1ec7n t\u00edch xung quanh kh\u00f4ng \u0111\u1ed5i\u00a0<\/span><\/li>\n<li><span style=\"font-weight: 400;\"> Chu vi \u0111\u00e1y kh\u00f4ng \u0111\u1ed5i\u00a0<\/span><\/li>\n<\/ol>\n<p><span style=\"font-weight: 400;\">C\u00e1ch l\u00e0m:\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">T\u01b0\u01a1ng t\u1ef1 nh\u01b0 tr\u00ean, \u1edf d\u1ea1ng b\u00e0i n\u00e0y ta ph\u1ea3i x\u00e9t h\u00ecnh tr\u1ee5 m\u1edbi trong t\u1eebng tr\u01b0\u1eddng h\u1ee3p. \u0110\u1ea7u ti\u00ean x\u00e1c \u0111\u1ecbnh h\u00ecnh tr\u1ee5 m\u1edbi c\u00f3 chi\u1ec1u cao h\u2019 = h\/9 v\u00e0 b\u00e1n k\u00ednh \u0111\u00e1y m\u1edbi l\u00e0 R\u2019 = 3R.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">T\u1eeb \u0111\u00e2y, ch\u00fang ta x\u00e1c \u0111\u1ecbnh h\u00ecnh tr\u1ee5 m\u1edbi c\u00f3 chu vi \u0111\u00e1y b\u1eb1ng: 2\u03a0R\u2019 = 2\u03a03R = 6\u03a0R = 3.2\u03a0R = 3C =&gt; D l\u00e0 \u0111\u00e1p \u00e1n ch\u01b0a t\u00ednh x\u00e1c.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Ti\u1ebfp theo, t\u00ednh di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n c\u1ee7a h\u00ecnh tr\u1ee5 m\u1edbi s\u1ebd b\u1eb1ng 2\u03a0R\u2019h + 2\u03a0R\u20192 = 2\u03a03Rh\/9 + 2\u03a0 (3R) = 2\u03a0Rh\/3 + 6\u03a0Rh + 2\u03a0R2 =&gt; B c\u0169ng l\u00e0 \u0111\u00e1p \u00e1n ch\u01b0a ch\u00ednh x\u00e1c.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Th\u1ec3 t\u00edch c\u1ee7a h\u00ecnh tr\u1ee5 m\u1edbi s\u1ebd b\u1eb1ng \u03a0R\u20192h\u2019 = \u03a0(3R)2h\/9 = \u03a0R2h =&gt; A l\u00e0 \u0111\u00e1p \u00e1n \u0111\u00fang.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Nh\u01b0 v\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0 A, tuy nhi\u00ean \u0111\u1ec3 bi\u1ebft t\u1ea1i sao \u0111\u00e1p \u00e1n C sai th\u00ec ch\u00fang ta ti\u1ebfp t\u1ee5c t\u00ednh to\u00e1n. <\/span><b>Di\u1ec7n t\u00edch xung quanh h\u00ecnh tr\u1ee5<\/b><span style=\"font-weight: 400;\"> m\u1edbi s\u1ebd b\u1eb1ng 2\u03a0R\u2019h\u2019 &#8211; 2\u03a0.3R.h\/9 = 2\u03a0Rh\/3 kh\u00e1c v\u1edbi 2\u03a0Rh, do \u0111\u00f3 C l\u00e0 \u0111\u00e1p \u00e1n sai.\u00a0<\/span><\/p>\n<h3><span style=\"font-weight: 400;\">B\u00e0i 8<\/span><\/h3>\n<p><span style=\"font-weight: 400;\">Cho m\u1ed9t h\u00ecnh tr\u1ee5 c\u00f3 b\u00e1n k\u00ednh \u0111\u00e1y \u0111\u01b0\u1ee3c x\u00e1c \u0111\u1ecbnh b\u1eb1ng 1\/4 \u0111\u01b0\u1eddng cao. N\u1ebfu c\u1eaft h\u00ecnh tr\u1ee5 n\u00e0y b\u1eb1ng m\u1ed9t m\u1eb7t ph\u1eb3ng \u0111i qua tr\u1ee5 th\u00ec m\u1eb7t c\u1eaft s\u1ebd c\u00f3 h\u00ecnh ch\u1eef nh\u1eadt v\u1edbi di\u1ec7n t\u00edch l\u00e0 50cm2. Anh\/ ch\u1ecb h\u00e3y t\u00ednh <\/span><b>di\u1ec7n t\u00edch xung quanh h\u00ecnh tr\u1ee5<\/b><span style=\"font-weight: 400;\"> v\u00e0 th\u1ec3 t\u00edch c\u1ee7a h\u00ecnh tr\u1ee5 \u0111\u00f3.\u00a0<\/span><\/p>\n<p><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/01\/dien-tich-xung-quanh-hinh-tru-6.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/01\/dien-tich-xung-quanh-hinh-tru-6-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/01\/dien-tich-xung-quanh-hinh-tru-6-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-312146 aligncenter webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/dien-tich-xung-quanh-hinh-tru-6.jpg\" alt=\"dien-tich-xung-quanh-hinh-tru-6\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/dien-tich-xung-quanh-hinh-tru-6.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/dien-tich-xung-quanh-hinh-tru-6-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/dien-tich-xung-quanh-hinh-tru-6-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><\/p>\n<p><span style=\"font-weight: 400;\">C\u00e1ch l\u00e0m:\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Theo gi\u1ea3 thi\u1ebft x\u00e1c \u0111\u1ecbnh \u0111\u01b0\u1ee3c b\u00e1n k\u00ednh R = 1\/4 h m\u00e0 di\u1ec7n t\u00edch h\u00ecnh ch\u1eef nh\u1eadt = h.2R = 50cm2. D\u1ef1a v\u00e0o \u0111\u00e2y ta c\u00f3 di\u1ec7n t\u00edch h\u00ecnh ch\u1eef nh\u1eadt = (2.1\/4 h).h = 50 =&gt; h2 = 100 =&gt; h = 10cm. =&gt; r = 1\/4h = 1\/4.10 = 5\/2cm.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Do \u0111\u00f3, th\u1ec3 t\u00edch c\u1ee7a h\u00ecnh tr\u1ee5 s\u1ebd b\u1eb1ng \u03a0R2h = \u03a0(5\/2)2. 10 = 62,5\u03a0 (cm3)\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Di\u1ec7n t\u00edch xung quanh c\u1ee7a h\u00ecnh tr\u1ee5 b\u1eb1ng 2\u03a0rh = 2\u03a05\/2.10 = 50\u03a0 (cm2)\u00a0<\/span><\/p>\n<h2><span style=\"font-weight: 400;\">T\u1ea1m K\u1ebft\u00a0<\/span><\/h2>\n<p><span style=\"font-weight: 400;\">Nh\u01b0 v\u1eady, ch\u00fang t\u00f4i \u0111\u00e3 chia s\u1ebb c\u00e1ch t\u00ednh <\/span><b>di\u1ec7n t\u00edch xung quanh h\u00ecnh tr\u1ee5<\/b><span style=\"font-weight: 400;\"> v\u00e0 c\u00e1c ki\u1ebfn th\u1ee9c li\u00ean quan cho c\u00e1c b\u1ea1n tham kh\u1ea3o. Mong r\u1eb1ng nh\u1eefng th\u00f4ng tin tr\u00ean gi\u00fap c\u00e1c b\u1ea1n c\u00f3 th\u00eam ki\u1ebfn th\u1ee9c, k\u1ef9 n\u0103ng \u0111\u1ec3 gi\u1ea3i c\u00e1c b\u00e0i t\u1eadp v\u1ec1 h\u00ecnh tr\u1ee5. H\u00e3y ti\u1ebfp t\u1ee5c b\u1ea5m theo d\u00f5i fanpage <\/span><b>Ho\u00e0ng H\u00e0 Mobile<\/b><span style=\"font-weight: 400;\"> v\u00e0 k\u00eanh Youtube <\/span><b>Ho\u00e0ng H\u00e0 Channel<\/b><span style=\"font-weight: 400;\"> \u0111\u1ec3 kh\u00f4ng b\u1ecf l\u1ee1 nh\u1eefng th\u00f4ng tin th\u00fa v\u1ecb nh\u00e9!<\/span><\/p>\n<p><strong>XEM TH\u00caM:\u00a0<\/strong><\/p>\n<ul>\n<li><strong><a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/the-tich-hinh-cau\/\">C\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch m\u1eb7t c\u1ea7u, th\u1ec3 t\u00edch kh\u1ed1i c\u1ea7u<\/a><\/strong><\/li>\n<li><strong><a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/cach-tinh-dien-tich-tam-giac-deu\/\">T\u00ecm hi\u1ec3u c\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch h\u00ecnh tam gi\u00e1c \u0111\u1ec1u, \u0111\u01b0\u1eddng cao tam gi\u00e1c \u0111\u1ec1u<\/a><\/strong><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Di\u1ec7n t\u00edch xung quanh h\u00ecnh tr\u1ee5 l\u00e0 m\u1ed9t trong nh\u1eefng n\u1ed9i dung quan tr\u1ecdng c\u1ee7a m\u00f4n to\u00e1n h\u00ecnh h\u1ecdc kh\u00f4ng gian. V\u1eady c\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch xung quanh c\u1ee7a h\u00ecnh tr\u1ee5 l\u00e0 g\u00ec? \u1ee8ng d\u1ee5ng c\u1ee7a h\u00ecnh tr\u1ee5 trong \u0111\u1eddi s\u1ed1ng th\u1ef1c ti\u1ec5n? M\u1eddi c\u00e1c b\u1ea1n theo d\u00f5i b\u00e0i vi\u1ebft d\u01b0\u1edbi \u0111\u00e2y c\u1ee7a Ho\u00e0ng [&hellip;]<\/p>\n","protected":false},"author":73,"featured_media":312141,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3910,30453],"tags":[],"class_list":["post-311654","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-kham-pha","category-kien-thuc"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v24.2 (Yoast SEO v24.2) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Di\u1ec7n t\u00edch xung quanh h\u00ecnh tr\u1ee5 v\u00e0 b\u00e0i t\u1eadp \u1ee9ng d\u1ee5ng<\/title>\n<meta name=\"description\" content=\"Di\u1ec7n t\u00edch xung quanh h\u00ecnh tr\u1ee5 \u0111\u01b0\u1ee3c t\u00ednh nh\u01b0 th\u1ebf n\u00e0o? Theo d\u00f5i n\u00e0y b\u00e0i vi\u1ebft d\u01b0\u1edbi \u0111\u00e2y c\u1ee7a Ho\u00e0ng H\u00e0 Mobile \u0111\u1ec3 bi\u1ebft th\u00eam th\u00f4ng tin nh\u00e9!\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/hoanghamobile.com\/tin-tuc\/dien-tich-xung-quanh-hinh-tru\/\" \/>\n<meta property=\"og:locale\" content=\"vi_VN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Di\u1ec7n t\u00edch xung quanh h\u00ecnh tr\u1ee5 v\u00e0 \u1ee9ng d\u1ee5ng\" \/>\n<meta property=\"og:description\" content=\"Di\u1ec7n t\u00edch xung quanh h\u00ecnh tr\u1ee5 \u0111\u01b0\u1ee3c t\u00ednh nh\u01b0 th\u1ebf n\u00e0o? 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