{"id":569582,"date":"2026-07-24T09:14:47","date_gmt":"2026-07-24T02:14:47","guid":{"rendered":"https:\/\/hoanghamobile.com\/tin-tuc\/?p=569582"},"modified":"2026-07-24T09:16:54","modified_gmt":"2026-07-24T02:16:54","slug":"hinh-tru","status":"publish","type":"post","link":"https:\/\/hoanghamobile.com\/tin-tuc\/hinh-tru\/","title":{"rendered":"H\u00ecnh tr\u1ee5 l\u00e0 g\u00ec? C\u00f4ng th\u1ee9c di\u1ec7n t\u00edch, th\u1ec3 t\u00edch v\u00e0 b\u00e0i t\u1eadp"},"content":{"rendered":"<p>H\u00ecnh tr\u1ee5 (hay h\u00ecnh tr\u1ee5 tr\u00f2n) l\u00e0 m\u1ed9t h\u00ecnh kh\u1ed1i kh\u00f4ng gian quen thu\u1ed9c, \u0111\u01b0\u1ee3c t\u1ea1o th\u00e0nh khi b\u1ea1n quay m\u1ed9t h\u00ecnh ch\u1eef nh\u1eadt \u0111\u00fang m\u1ed9t v\u00f2ng quanh m\u1ed9t c\u1ea1nh c\u1ed1 \u0111\u1ecbnh c\u1ee7a n\u00f3. K\u1ebft qu\u1ea3 l\u00e0 m\u1ed9t kh\u1ed1i c\u00f3 hai \u0111\u00e1y l\u00e0 hai h\u00ecnh tr\u00f2n b\u1eb1ng nhau, song song v\u1edbi nhau v\u00e0 \u0111\u01b0\u1ee3c n\u1ed1i li\u1ec1n b\u1edfi m\u1ed9t m\u1eb7t cong bao quanh. B\u1ea1n d\u1ec5 d\u00e0ng b\u1eaft g\u1eb7p h\u00ecnh tr\u1ee5 trong \u0111\u1eddi s\u1ed1ng qua lon n\u01b0\u1edbc ng\u1ecdt, \u1ed1ng n\u01b0\u1edbc hay c\u00e2y b\u00fat tr\u00f2n. \u0110\u00e2y l\u00e0 d\u1ea1ng to\u00e1n quan tr\u1ecdng trong ch\u01b0\u01a1ng tr\u00ecnh To\u00e1n l\u1edbp 9 v\u00e0 l\u1edbp 12, v\u1edbi ba c\u00f4ng th\u1ee9c c\u1ed1t l\u00f5i b\u1ea1n c\u1ea7n n\u1eafm: di\u1ec7n t\u00edch xung quanh, di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n v\u00e0 th\u1ec3 t\u00edch.<\/p>\n<h2>H\u00ecnh tr\u1ee5 l\u00e0 g\u00ec?<\/h2>\n<p>H\u00ecnh tr\u1ee5 l\u00e0 h\u00ecnh kh\u1ed1i c\u00f3 hai \u0111\u00e1y l\u00e0 hai h\u00ecnh tr\u00f2n b\u1eb1ng nhau, song song v\u1edbi nhau v\u00e0 \u0111\u01b0\u1ee3c n\u1ed1i b\u1edfi m\u1ed9t m\u1eb7t cong xung quanh. V\u1ec1 m\u1eb7t h\u00ecnh h\u1ecdc, h\u00ecnh tr\u1ee5 sinh ra khi ta quay m\u1ed9t h\u00ecnh ch\u1eef nh\u1eadt m\u1ed9t v\u00f2ng quanh m\u1ed9t c\u1ea1nh c\u1ee7a n\u00f3; c\u1ea1nh \u0111\u00f3 tr\u1edf th\u00e0nh tr\u1ee5c, c\u00f2n c\u1ea1nh \u0111\u1ed1i di\u1ec7n qu\u00e9t th\u00e0nh m\u1eb7t xung quanh. Trong th\u1ef1c t\u1ebf, c\u00e1c v\u1eadt quen thu\u1ed9c nh\u01b0 lon n\u01b0\u1edbc, th\u00f9ng phuy, \u1ed1ng d\u1eabn n\u01b0\u1edbc v\u00e0 c\u1ed9t b\u00ea t\u00f4ng \u0111\u1ec1u mang d\u1ea1ng h\u00ecnh tr\u1ee5.<\/p>\n<p><img fetchpriority=\"high\" decoding=\"async\" class=\"size-full wp-image-569790 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/hinh-tru-1.jpg\" alt=\"hinh-tru-1\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/hinh-tru-1.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/hinh-tru-1-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/hinh-tru-1-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2>C\u00e1c y\u1ebfu t\u1ed1 c\u1ee7a h\u00ecnh tr\u1ee5<\/h2>\n<p>\u0110\u1ec3 t\u00ednh to\u00e1n v\u1edbi h\u00ecnh tr\u1ee5, b\u1ea1n c\u1ea7n x\u00e1c \u0111\u1ecbnh \u0111\u00fang ba \u0111\u1ea1i l\u01b0\u1ee3ng c\u01a1 b\u1ea3n d\u01b0\u1edbi \u0111\u00e2y.<\/p>\n<ul>\n<li><strong>B\u00e1n k\u00ednh \u0111\u00e1y (R):<\/strong> b\u00e1n k\u00ednh c\u1ee7a h\u00ecnh tr\u00f2n \u0111\u00e1y.<\/li>\n<li><strong>Chi\u1ec1u cao (h):<\/strong> kho\u1ea3ng c\u00e1ch gi\u1eefa hai m\u1eb7t \u0111\u00e1y.<\/li>\n<li><strong>\u0110\u01b0\u1eddng sinh (l):<\/strong> \u0111\u1ed1i v\u1edbi h\u00ecnh tr\u1ee5 \u0111\u1ee9ng, \u0111\u01b0\u1eddng sinh b\u1eb1ng chi\u1ec1u cao (l = h).<\/li>\n<\/ul>\n<h2>B\u1ea3ng c\u00f4ng th\u1ee9c h\u00ecnh tr\u1ee5 \u0111\u1ea7y \u0111\u1ee7<\/h2>\n<p>Ba c\u00f4ng th\u1ee9c d\u01b0\u1edbi \u0111\u00e2y l\u00e0 t\u1ea5t c\u1ea3 nh\u1eefng g\u00ec b\u1ea1n c\u1ea7n \u0111\u1ec3 gi\u1ea3i m\u1ecdi b\u00e0i to\u00e1n c\u01a1 b\u1ea3n v\u1ec1 h\u00ecnh tr\u1ee5.<\/p>\n<table border=\"1\" cellpadding=\"8\" cellspacing=\"0\">\n<thead>\n<tr>\n<th>\u0110\u1ea1i l\u01b0\u1ee3ng<\/th>\n<th>C\u00f4ng th\u1ee9c<\/th>\n<th>\u00dd ngh\u0129a<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>Di\u1ec7n t\u00edch xung quanh (Sxq)<\/td>\n<td>Sxq = 2 \u00d7 \u03c0 \u00d7 R \u00d7 h<\/td>\n<td>Di\u1ec7n t\u00edch ph\u1ea7n m\u1eb7t cong bao quanh<\/td>\n<\/tr>\n<tr>\n<td>Di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n (Stp)<\/td>\n<td>Stp = 2\u03c0Rh + 2\u03c0R\u00b2<\/td>\n<td>Xung quanh c\u1ed9ng hai m\u1eb7t \u0111\u00e1y<\/td>\n<\/tr>\n<tr>\n<td>Th\u1ec3 t\u00edch (V)<\/td>\n<td>V = \u03c0 \u00d7 R\u00b2 \u00d7 h<\/td>\n<td>Di\u1ec7n t\u00edch \u0111\u00e1y nh\u00e2n chi\u1ec1u cao<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Trong \u0111\u00f3 R l\u00e0 b\u00e1n k\u00ednh \u0111\u00e1y, h l\u00e0 chi\u1ec1u cao v\u00e0 \u03c0 \u2248 3,14.<\/p>\n<h2>C\u00f4ng th\u1ee9c di\u1ec7n t\u00edch h\u00ecnh tr\u1ee5<\/h2>\n<p>Di\u1ec7n t\u00edch h\u00ecnh tr\u1ee5 g\u1ed3m hai lo\u1ea1i: di\u1ec7n t\u00edch xung quanh (ch\u1ec9 ph\u1ea7n m\u1eb7t cong) v\u00e0 di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n (c\u1ed9ng th\u00eam hai \u0111\u00e1y).<\/p>\n<ul>\n<li><strong>Di\u1ec7n t\u00edch xung quanh:<\/strong> Sxq = 2 \u00d7 \u03c0 \u00d7 R \u00d7 h.<\/li>\n<li><strong>Di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n:<\/strong> Stp = Sxq + di\u1ec7n t\u00edch hai \u0111\u00e1y = 2\u03c0Rh + 2\u03c0R\u00b2.<\/li>\n<\/ul>\n<p>N\u1ebfu c\u1ea7n \u0111\u00e0o s\u00e2u ri\u00eang ph\u1ea7n n\u00e0y, b\u1ea1n c\u00f3 th\u1ec3 xem th\u00eam b\u00e0i <strong><a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/dien-tich-xung-quanh-hinh-tru\/\">di\u1ec7n t\u00edch xung quanh h\u00ecnh tr\u1ee5 v\u00e0 b\u00e0i t\u1eadp \u1ee9ng d\u1ee5ng<\/a><\/strong>.<\/p>\n<p><strong>Xem th\u00eam: <a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/so-chinh-phuong-la-gi\/\">S\u1ed1 ch\u00ednh ph\u01b0\u01a1ng l\u00e0 g\u00ec? T\u00ednh ch\u1ea5t v\u00e0 c\u00e1ch nh\u1eadn bi\u1ebft<\/a><\/strong><br \/>\n<img decoding=\"async\" class=\"size-full wp-image-569791 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/hinh-tru-2.jpg\" alt=\"hinh-tru-2\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/hinh-tru-2.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/hinh-tru-2-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/hinh-tru-2-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2>C\u00f4ng th\u1ee9c th\u1ec3 t\u00edch h\u00ecnh tr\u1ee5<\/h2>\n<p>Th\u1ec3 t\u00edch h\u00ecnh tr\u1ee5 b\u1eb1ng di\u1ec7n t\u00edch \u0111\u00e1y nh\u00e2n v\u1edbi chi\u1ec1u cao, theo c\u00f4ng th\u1ee9c V = \u03c0 \u00d7 R\u00b2 \u00d7 h.<\/p>\n<p>Trong \u0111\u00f3 R l\u00e0 b\u00e1n k\u00ednh \u0111\u00e1y, h l\u00e0 chi\u1ec1u cao v\u00e0 \u03c0 \u2248 3,14. \u0110\u1ec3 t\u00ecm hi\u1ec3u chi ti\u1ebft h\u01a1n v\u1ec1 ph\u1ea7n n\u00e0y, b\u1ea1n c\u00f3 th\u1ec3 tham kh\u1ea3o b\u00e0i <strong><a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/the-tich-khoi-tru\/\">h\u01b0\u1edbng d\u1eabn c\u00e1ch t\u00ednh th\u1ec3 t\u00edch kh\u1ed1i tr\u1ee5<\/a><\/strong>.<\/p>\n<p><img decoding=\"async\" class=\"size-full wp-image-569792 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/hinh-tru-3.jpg\" alt=\"hinh-tru-3\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/hinh-tru-3.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/hinh-tru-3-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/hinh-tru-3-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2>V\u00ed d\u1ee5 v\u00e0 b\u00e0i t\u1eadp v\u1eadn d\u1ee5ng c\u00f3 l\u1eddi gi\u1ea3i<\/h2>\n<p>D\u01b0\u1edbi \u0111\u00e2y l\u00e0 c\u00e1c v\u00ed d\u1ee5 \u0111\u01b0\u1ee3c gi\u1ea3i t\u1eebng b\u01b0\u1edbc \u0111\u1ec3 b\u1ea1n n\u1eafm ch\u1eafc c\u00e1ch \u00e1p d\u1ee5ng t\u1eebng c\u00f4ng th\u1ee9c.<\/p>\n<p><strong>B\u00e0i 1 \u2014 T\u00ednh th\u1ec3 t\u00edch:<\/strong> Cho h\u00ecnh tr\u1ee5 c\u00f3 R = 3 cm, h = 10 cm.<\/p>\n<ul>\n<li>B\u01b0\u1edbc 1: X\u00e1c \u0111\u1ecbnh c\u00f4ng th\u1ee9c V = \u03c0R\u00b2h.<\/li>\n<li>B\u01b0\u1edbc 2: Thay s\u1ed1 R\u00b2 = 3\u00b2 = 9.<\/li>\n<li>B\u01b0\u1edbc 3: T\u00ednh V = 3,14 \u00d7 9 \u00d7 10 = 282,6 cm\u00b3.<\/li>\n<\/ul>\n<p><strong>B\u00e0i 2 \u2014 T\u00ednh di\u1ec7n t\u00edch xung quanh:<\/strong> Cho h\u00ecnh tr\u1ee5 c\u00f3 R = 4 cm, h = 5 cm.<\/p>\n<ul>\n<li>B\u01b0\u1edbc 1: X\u00e1c \u0111\u1ecbnh c\u00f4ng th\u1ee9c Sxq = 2\u03c0Rh.<\/li>\n<li>B\u01b0\u1edbc 2: Thay s\u1ed1 Sxq = 2 \u00d7 3,14 \u00d7 4 \u00d7 5.<\/li>\n<li>B\u01b0\u1edbc 3: T\u00ednh Sxq = 125,6 cm\u00b2.<\/li>\n<\/ul>\n<p><strong>B\u00e0i 3 \u2014 T\u00ednh di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n:<\/strong> Cho h\u00ecnh tr\u1ee5 c\u00f3 R = 2 cm, h = 6 cm.<\/p>\n<ul>\n<li>B\u01b0\u1edbc 1: T\u00ednh di\u1ec7n t\u00edch xung quanh Sxq = 2\u03c0Rh = 2 \u00d7 3,14 \u00d7 2 \u00d7 6 = 75,36 cm\u00b2.<\/li>\n<li>B\u01b0\u1edbc 2: T\u00ednh di\u1ec7n t\u00edch hai \u0111\u00e1y 2\u03c0R\u00b2 = 2 \u00d7 3,14 \u00d7 4 = 25,12 cm\u00b2.<\/li>\n<li>B\u01b0\u1edbc 3: C\u1ed9ng l\u1ea1i Stp = 75,36 + 25,12 = 100,48 cm\u00b2.<\/li>\n<\/ul>\n<p><strong>B\u00e0i 4 (tr\u1eafc nghi\u1ec7m):<\/strong> C\u00f4ng th\u1ee9c th\u1ec3 t\u00edch h\u00ecnh tr\u1ee5 l\u00e0 g\u00ec? A. \u03c0Rh &nbsp; B. \u03c0R\u00b2h &nbsp; C. 2\u03c0Rh &nbsp; D. m\u1ed9t ph\u1ea7n ba \u03c0R\u00b2h. <em>\u0110\u00e1p \u00e1n: B.<\/em><\/p>\n<h2>Nh\u1eefng l\u1ed7i th\u01b0\u1eddng g\u1eb7p khi t\u00ednh h\u00ecnh tr\u1ee5<\/h2>\n<p>Khi gi\u1ea3i to\u00e1n h\u00ecnh tr\u1ee5, h\u1ecdc sinh hay m\u1eafc m\u1ed9t v\u00e0i l\u1ed7i khi\u1ebfn k\u1ebft qu\u1ea3 sai l\u1ec7ch. B\u1ea1n n\u00ean l\u01b0u \u00fd nh\u1eefng \u0111i\u1ec3m sau.<\/p>\n<ul>\n<li><strong>Nh\u1ea7m b\u00e1n k\u00ednh v\u1edbi \u0111\u01b0\u1eddng k\u00ednh:<\/strong> \u0111\u1ec1 b\u00e0i cho \u0111\u01b0\u1eddng k\u00ednh d th\u00ec ph\u1ea3i l\u1ea5y R = d chia 2 tr\u01b0\u1edbc khi thay v\u00e0o c\u00f4ng th\u1ee9c.<\/li>\n<li><strong>Qu\u00ean b\u00ecnh ph\u01b0\u01a1ng b\u00e1n k\u00ednh:<\/strong> trong c\u00f4ng th\u1ee9c th\u1ec3 t\u00edch l\u00e0 R b\u00ecnh ph\u01b0\u01a1ng, kh\u00f4ng ph\u1ea3i R.<\/li>\n<li><strong>Thi\u1ebfu hai m\u1eb7t \u0111\u00e1y khi t\u00ednh to\u00e0n ph\u1ea7n:<\/strong> Stp ph\u1ea3i c\u1ed9ng th\u00eam 2\u03c0R\u00b2, nhi\u1ec1u b\u1ea1n d\u1eebng l\u1ea1i \u1edf Sxq.<\/li>\n<li><strong>Sai \u0111\u01a1n v\u1ecb:<\/strong> di\u1ec7n t\u00edch t\u00ednh b\u1eb1ng cm\u00b2, c\u00f2n th\u1ec3 t\u00edch t\u00ednh b\u1eb1ng cm\u00b3.<\/li>\n<\/ul>\n<h2>\u1ee8ng d\u1ee5ng th\u1ef1c t\u1ebf c\u1ee7a h\u00ecnh tr\u1ee5<\/h2>\n<p>H\u00ecnh tr\u1ee5 xu\u1ea5t hi\u1ec7n ph\u1ed5 bi\u1ebfn trong \u0111\u1eddi s\u1ed1ng qua nhi\u1ec1u v\u1eadt d\u1ee5ng v\u00e0 c\u00f4ng tr\u00ecnh quen thu\u1ed9c. C\u00f3 th\u1ec3 k\u1ec3 \u0111\u1ebfn lon n\u01b0\u1edbc ng\u1ecdt, th\u00f9ng phuy, \u1ed1ng d\u1eabn n\u01b0\u1edbc, c\u1ed9t tr\u1ee5 v\u00e0 b\u1ed3n ch\u1ee9a. Vi\u1ec7c t\u00ednh th\u1ec3 t\u00edch v\u00e0 di\u1ec7n t\u00edch h\u00ecnh tr\u1ee5 gi\u00fap ch\u00fang ta \u01b0\u1edbc l\u01b0\u1ee3ng dung t\u00edch ch\u1ee9a ho\u1eb7c l\u01b0\u1ee3ng v\u1eadt li\u1ec7u c\u1ea7n d\u00f9ng, ch\u1eb3ng h\u1ea1n nh\u01b0 l\u01b0\u1ee3ng th\u00e9p \u0111\u1ec3 l\u00e0m b\u1ed3n v\u00e0 l\u01b0\u1ee3ng s\u01a1n \u0111\u1ec3 ph\u1ee7 b\u1ec1 m\u1eb7t.<\/p>\n<p><strong>Xem th\u00eam: <a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/ham-so-la-gi\/\">H\u00e0m s\u1ed1 l\u00e0 g\u00ec? Kh\u00e1i ni\u1ec7m, t\u1eadp x\u00e1c \u0111\u1ecbnh v\u00e0 \u0111\u1ed3 th\u1ecb h\u00e0m s\u1ed1<\/a><\/strong><br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-569793 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/hinh-tru-4.jpg\" alt=\"hinh-tru-4\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/hinh-tru-4.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/hinh-tru-4-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/hinh-tru-4-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2>C\u00e2u h\u1ecfi th\u01b0\u1eddng g\u1eb7p v\u1ec1 h\u00ecnh tr\u1ee5<\/h2>\n<h3>H\u00ecnh tr\u1ee5 l\u00e0 g\u00ec?<\/h3>\n<p>H\u00ecnh tr\u1ee5 l\u00e0 h\u00ecnh kh\u1ed1i c\u00f3 hai \u0111\u00e1y l\u00e0 hai h\u00ecnh tr\u00f2n b\u1eb1ng nhau, song song v\u1edbi nhau v\u00e0 \u0111\u01b0\u1ee3c n\u1ed1i b\u1edfi m\u1ed9t m\u1eb7t cong xung quanh.<\/p>\n<h3>C\u00f4ng th\u1ee9c t\u00ednh th\u1ec3 t\u00edch h\u00ecnh tr\u1ee5 l\u00e0 g\u00ec?<\/h3>\n<p>Th\u1ec3 t\u00edch h\u00ecnh tr\u1ee5 \u0111\u01b0\u1ee3c t\u00ednh b\u1eb1ng V = \u03c0R\u00b2h, t\u1ee9c di\u1ec7n t\u00edch \u0111\u00e1y nh\u00e2n v\u1edbi chi\u1ec1u cao.<\/p>\n<h3>C\u00f4ng th\u1ee9c di\u1ec7n t\u00edch xung quanh h\u00ecnh tr\u1ee5 l\u00e0 g\u00ec?<\/h3>\n<p>Di\u1ec7n t\u00edch xung quanh h\u00ecnh tr\u1ee5 \u0111\u01b0\u1ee3c t\u00ednh b\u1eb1ng Sxq = 2\u03c0Rh.<\/p>\n<h3>Di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n h\u00ecnh tr\u1ee5 t\u00ednh th\u1ebf n\u00e0o?<\/h3>\n<p>Di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n b\u1eb1ng di\u1ec7n t\u00edch xung quanh c\u1ed9ng hai m\u1eb7t \u0111\u00e1y: Stp = 2\u03c0Rh + 2\u03c0R\u00b2.<\/p>\n<h3>\u0110\u01b0\u1eddng sinh c\u1ee7a h\u00ecnh tr\u1ee5 \u0111\u1ee9ng b\u1eb1ng g\u00ec?<\/h3>\n<p>V\u1edbi h\u00ecnh tr\u1ee5 \u0111\u1ee9ng, \u0111\u01b0\u1eddng sinh b\u1eb1ng chi\u1ec1u cao h c\u1ee7a h\u00ecnh tr\u1ee5.<\/p>\n<h3>H\u00ecnh tr\u1ee5 \u0111\u01b0\u1ee3c t\u1ea1o th\u00e0nh nh\u01b0 th\u1ebf n\u00e0o?<\/h3>\n<p>H\u00ecnh tr\u1ee5 \u0111\u01b0\u1ee3c t\u1ea1o th\u00e0nh khi quay m\u1ed9t h\u00ecnh ch\u1eef nh\u1eadt m\u1ed9t v\u00f2ng quanh m\u1ed9t c\u1ea1nh c\u1ed1 \u0111\u1ecbnh c\u1ee7a n\u00f3.<\/p>\n<h2>K\u1ebft lu\u1eadn<\/h2>\n<p>T\u00f3m l\u1ea1i, h\u00ecnh tr\u1ee5 c\u00f3 hai \u0111\u00e1y tr\u00f2n b\u1eb1ng nhau v\u1edbi th\u1ec3 t\u00edch V = \u03c0R\u00b2h, di\u1ec7n t\u00edch xung quanh Sxq = 2\u03c0Rh v\u00e0 di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n Stp = 2\u03c0Rh + 2\u03c0R\u00b2. Khi n\u1eafm v\u1eefng ba c\u00f4ng th\u1ee9c n\u00e0y c\u00f9ng c\u00e1ch tr\u00e1nh c\u00e1c l\u1ed7i th\u01b0\u1eddng g\u1eb7p, b\u1ea1n s\u1ebd gi\u1ea3i nhanh m\u1ecdi b\u00e0i to\u00e1n h\u00ecnh h\u1ecdc kh\u00f4ng gian li\u00ean quan. \u0110\u1ec3 h\u1ecdc th\u00eam, m\u1eddi b\u1ea1n tham kh\u1ea3o c\u00e1c b\u00e0i <strong><a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/dien-tich-hinh-tron\/\">c\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch h\u00ecnh tr\u00f2n<\/a><\/strong> v\u00e0 <strong><a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/dien-tich-tam-giac\/\">c\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch tam gi\u00e1c<\/a><\/strong> tr\u00ean chuy\u00ean m\u1ee5c tin t\u1ee9c c\u1ee7a Ho\u00e0ng H\u00e0 Mobile.<\/p>\n<p><script type=\"application\/ld+json\">\n{\n  \"@context\": \"https:\/\/schema.org\",\n  \"@type\": \"FAQPage\",\n  \"mainEntity\": [\n    {\"@type\": \"Question\", \"name\": \"H\u00ecnh tr\u1ee5 l\u00e0 g\u00ec?\", \"acceptedAnswer\": {\"@type\": \"Answer\", \"text\": \"H\u00ecnh tr\u1ee5 l\u00e0 h\u00ecnh kh\u1ed1i c\u00f3 hai \u0111\u00e1y l\u00e0 hai h\u00ecnh tr\u00f2n b\u1eb1ng nhau, song song v\u1edbi nhau v\u00e0 \u0111\u01b0\u1ee3c n\u1ed1i b\u1edfi m\u1ed9t m\u1eb7t cong xung quanh.\"}},\n    {\"@type\": \"Question\", \"name\": \"C\u00f4ng th\u1ee9c t\u00ednh th\u1ec3 t\u00edch h\u00ecnh tr\u1ee5 l\u00e0 g\u00ec?\", \"acceptedAnswer\": {\"@type\": \"Answer\", \"text\": \"Th\u1ec3 t\u00edch h\u00ecnh tr\u1ee5 \u0111\u01b0\u1ee3c t\u00ednh b\u1eb1ng V = \u03c0R\u00b2h, t\u1ee9c di\u1ec7n t\u00edch \u0111\u00e1y nh\u00e2n v\u1edbi chi\u1ec1u cao.\"}},\n    {\"@type\": \"Question\", \"name\": \"C\u00f4ng th\u1ee9c di\u1ec7n t\u00edch xung quanh h\u00ecnh tr\u1ee5 l\u00e0 g\u00ec?\", \"acceptedAnswer\": {\"@type\": \"Answer\", \"text\": \"Di\u1ec7n t\u00edch xung quanh h\u00ecnh tr\u1ee5 \u0111\u01b0\u1ee3c t\u00ednh b\u1eb1ng Sxq = 2\u03c0Rh.\"}},\n    {\"@type\": \"Question\", \"name\": \"Di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n h\u00ecnh tr\u1ee5 t\u00ednh th\u1ebf n\u00e0o?\", \"acceptedAnswer\": {\"@type\": \"Answer\", \"text\": \"Di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n b\u1eb1ng di\u1ec7n t\u00edch xung quanh c\u1ed9ng hai m\u1eb7t \u0111\u00e1y: Stp = 2\u03c0Rh + 2\u03c0R\u00b2.\"}},\n    {\"@type\": \"Question\", \"name\": \"\u0110\u01b0\u1eddng sinh c\u1ee7a h\u00ecnh tr\u1ee5 \u0111\u1ee9ng b\u1eb1ng g\u00ec?\", \"acceptedAnswer\": {\"@type\": \"Answer\", \"text\": \"V\u1edbi h\u00ecnh tr\u1ee5 \u0111\u1ee9ng, \u0111\u01b0\u1eddng sinh b\u1eb1ng chi\u1ec1u cao h c\u1ee7a h\u00ecnh tr\u1ee5.\"}},\n    {\"@type\": \"Question\", \"name\": \"H\u00ecnh tr\u1ee5 \u0111\u01b0\u1ee3c t\u1ea1o th\u00e0nh nh\u01b0 th\u1ebf n\u00e0o?\", \"acceptedAnswer\": {\"@type\": \"Answer\", \"text\": \"H\u00ecnh tr\u1ee5 \u0111\u01b0\u1ee3c t\u1ea1o th\u00e0nh khi quay m\u1ed9t h\u00ecnh ch\u1eef nh\u1eadt m\u1ed9t v\u00f2ng quanh m\u1ed9t c\u1ea1nh c\u1ed1 \u0111\u1ecbnh c\u1ee7a n\u00f3.\"}}\n  ]\n}\n<\/script><\/p>\n","protected":false},"excerpt":{"rendered":"<p>H\u00ecnh tr\u1ee5 (hay h\u00ecnh tr\u1ee5 tr\u00f2n) l\u00e0 m\u1ed9t h\u00ecnh kh\u1ed1i kh\u00f4ng gian quen thu\u1ed9c, \u0111\u01b0\u1ee3c t\u1ea1o th\u00e0nh khi b\u1ea1n quay m\u1ed9t h\u00ecnh ch\u1eef nh\u1eadt \u0111\u00fang m\u1ed9t v\u00f2ng quanh m\u1ed9t c\u1ea1nh c\u1ed1 \u0111\u1ecbnh c\u1ee7a n\u00f3. K\u1ebft qu\u1ea3 l\u00e0 m\u1ed9t kh\u1ed1i c\u00f3 hai \u0111\u00e1y l\u00e0 hai h\u00ecnh tr\u00f2n b\u1eb1ng nhau, song song v\u1edbi nhau v\u00e0 \u0111\u01b0\u1ee3c n\u1ed1i [&hellip;]<\/p>\n","protected":false},"author":65,"featured_media":569789,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"h\u00ecnh tr\u1ee5 l\u00e0 g\u00ec","_yoast_wpseo_title":"H\u00ecnh tr\u1ee5: C\u00f4ng th\u1ee9c di\u1ec7n t\u00edch v\u00e0 th\u1ec3 t\u00edch","_yoast_wpseo_metadesc":"H\u00ecnh tr\u1ee5 l\u00e0 g\u00ec? T\u00ecm hi\u1ec3u kh\u00e1i ni\u1ec7m, c\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch xung quanh, di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n v\u00e0 th\u1ec3 t\u00edch h\u00ecnh tr\u1ee5 k\u00e8m v\u00ed d\u1ee5 c\u00f3 l\u1eddi gi\u1ea3i chi ti\u1ebft.","footnotes":""},"categories":[16],"tags":[],"class_list":["post-569582","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-thu-thuat"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v27.3 (Yoast SEO v27.4) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>H\u00ecnh tr\u1ee5: C\u00f4ng th\u1ee9c di\u1ec7n t\u00edch v\u00e0 th\u1ec3 t\u00edch<\/title>\n<meta name=\"description\" content=\"H\u00ecnh tr\u1ee5 l\u00e0 g\u00ec? T\u00ecm hi\u1ec3u kh\u00e1i ni\u1ec7m, c\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch xung quanh, di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n v\u00e0 th\u1ec3 t\u00edch h\u00ecnh tr\u1ee5 k\u00e8m v\u00ed d\u1ee5 c\u00f3 l\u1eddi gi\u1ea3i chi ti\u1ebft.\" \/>\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\/hinh-tru\/\" \/>\n<meta property=\"og:locale\" content=\"vi_VN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"H\u00ecnh tr\u1ee5 l\u00e0 g\u00ec? C\u00f4ng th\u1ee9c di\u1ec7n t\u00edch, th\u1ec3 t\u00edch v\u00e0 b\u00e0i t\u1eadp\" \/>\n<meta property=\"og:description\" content=\"H\u00ecnh tr\u1ee5 l\u00e0 g\u00ec? T\u00ecm hi\u1ec3u kh\u00e1i ni\u1ec7m, c\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch xung quanh, di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n v\u00e0 th\u1ec3 t\u00edch h\u00ecnh tr\u1ee5 k\u00e8m v\u00ed d\u1ee5 c\u00f3 l\u1eddi gi\u1ea3i chi ti\u1ebft.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/hoanghamobile.com\/tin-tuc\/hinh-tru\/\" \/>\n<meta property=\"og:site_name\" content=\"Tin t\u1ee9c c\u00f4ng ngh\u1ec7 - HoangHaMobile\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/hoanghamobilecom\" \/>\n<meta property=\"article:author\" content=\"https:\/\/www.facebook.com\/hoanghamobilecom\" \/>\n<meta property=\"article:published_time\" content=\"2026-07-24T02:14:47+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2026-07-24T02:16:54+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/hinh-tru.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"1200\" \/>\n\t<meta property=\"og:image:height\" content=\"628\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"author\" content=\"Vo Giang\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u0110\u01b0\u1ee3c vi\u1ebft b\u1edfi\" \/>\n\t<meta name=\"twitter:data1\" content=\"Vo Giang\" \/>\n\t<meta name=\"twitter:label2\" content=\"\u01af\u1edbc t\u00ednh th\u1eddi gian \u0111\u1ecdc\" \/>\n\t<meta name=\"twitter:data2\" content=\"5 ph\u00fat\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/hoanghamobile.com\\\/tin-tuc\\\/hinh-tru\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/hoanghamobile.com\\\/tin-tuc\\\/hinh-tru\\\/\"},\"author\":{\"name\":\"Vo Giang\",\"@id\":\"https:\\\/\\\/hoanghamobile.com\\\/tin-tuc\\\/#\\\/schema\\\/person\\\/72d0493d28396e6a0cdc358e9260c03c\"},\"headline\":\"H\u00ecnh tr\u1ee5 l\u00e0 g\u00ec? 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