{"id":305862,"date":"2024-01-13T16:24:32","date_gmt":"2024-01-13T09:24:32","guid":{"rendered":"https:\/\/hoanghamobile.com\/tin-tuc\/?p=305862"},"modified":"2026-11-05T14:05:51","modified_gmt":"2026-11-05T07:05:51","slug":"the-tich-hinh-cau","status":"publish","type":"post","link":"https:\/\/hoanghamobile.com\/tin-tuc\/the-tich-hinh-cau\/","title":{"rendered":"Th\u1ec3 t\u00edch h\u00ecnh c\u1ea7u: C\u00f4ng th\u1ee9c t\u00ednh th\u1ec3 t\u00edch kh\u1ed1i c\u1ea7u v\u00e0 b\u00e0i t\u1eadp c\u00f3 l\u1eddi gi\u1ea3i"},"content":{"rendered":"<p><strong>Th\u1ec3 t\u00edch h\u00ecnh c\u1ea7u (kh\u1ed1i c\u1ea7u) b\u1eb1ng b\u1ed1n ph\u1ea7n ba \u03c0 nh\u00e2n l\u1eadp ph\u01b0\u01a1ng b\u00e1n k\u00ednh: V = 4\/3\u00b7\u03c0R\u00b3, ho\u1eb7c V = \u03c0d\u00b3\/6 n\u1ebfu bi\u1ebft \u0111\u01b0\u1eddng k\u00ednh d.<\/strong> V\u00ed d\u1ee5 kh\u1ed1i c\u1ea7u b\u00e1n k\u00ednh 3 cm c\u00f3 th\u1ec3 t\u00edch V = 4\/3 \u00d7 \u03c0 \u00d7 27 = 36\u03c0 \u2248 113,04 cm\u00b3 (l\u1ea5y \u03c0 \u2248 3,14). B\u00e0i vi\u1ebft h\u01b0\u1edbng d\u1eabn c\u00f4ng th\u1ee9c, c\u00e1c b\u01b0\u1edbc t\u00ednh, c\u00e1ch t\u00ecm b\u00e1n k\u00ednh khi bi\u1ebft th\u1ec3 t\u00edch, th\u1ec3 t\u00edch n\u1eeda h\u00ecnh c\u1ea7u v\u00e0 b\u00e0i t\u1eadp c\u00f3 l\u1eddi gi\u1ea3i.<\/p>\n<p><strong>T\u00f3m t\u1eaft nhanh:<\/strong><\/p>\n<ul>\n<li><strong>Bi\u1ebft b\u00e1n k\u00ednh R:<\/strong> V = 4\/3\u00b7\u03c0R\u00b3.<\/li>\n<li><strong>Bi\u1ebft \u0111\u01b0\u1eddng k\u00ednh d:<\/strong> V = \u03c0d\u00b3\/6.<\/li>\n<li><strong>Bi\u1ebft th\u1ec3 t\u00edch, t\u00ecm b\u00e1n k\u00ednh:<\/strong> R = \u221b(3V \/ 4\u03c0).<\/li>\n<li><strong>Di\u1ec7n t\u00edch m\u1eb7t c\u1ea7u (\u0111\u1ec3 ph\u00e2n bi\u1ec7t):<\/strong> S = 4\u03c0R\u00b2, \u0111\u01a1n v\u1ecb vu\u00f4ng.<\/li>\n<\/ul>\n<p><img fetchpriority=\"high\" decoding=\"async\" class=\"aligncenter size-full wp-image-306308\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-hinh-cau-1.jpg\" alt=\"Kh\u1ed1i c\u1ea7u trong kh\u00f4ng gian\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-hinh-cau-1.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-hinh-cau-1-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-hinh-cau-1-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2>M\u1eb7t c\u1ea7u, kh\u1ed1i c\u1ea7u, h\u00ecnh c\u1ea7u l\u00e0 g\u00ec?<\/h2>\n<p>Khi quay n\u1eeda h\u00ecnh tr\u00f2n t\u00e2m O, b\u00e1n k\u00ednh R m\u1ed9t v\u00f2ng quanh \u0111\u01b0\u1eddng k\u00ednh AB c\u1ed1 \u0111\u1ecbnh, ta \u0111\u01b0\u1ee3c m\u1ed9t h\u00ecnh c\u1ea7u. Trong \u0111\u00f3:<\/p>\n<ul>\n<li><strong>M\u1eb7t c\u1ea7u<\/strong> l\u00e0 ph\u1ea7n m\u1eb7t do n\u1eeda \u0111\u01b0\u1eddng tr\u00f2n t\u1ea1o ra khi quay, g\u1ed3m m\u1ecdi \u0111i\u1ec3m c\u00e1ch t\u00e2m O m\u1ed9t kho\u1ea3ng b\u1eb1ng R.<\/li>\n<li><strong>Kh\u1ed1i c\u1ea7u (h\u00ecnh c\u1ea7u)<\/strong> g\u1ed3m m\u1eb7t c\u1ea7u v\u00e0 to\u00e0n b\u1ed9 ph\u1ea7n kh\u00f4ng gian b\u00ean trong.<\/li>\n<li>O l\u00e0 t\u00e2m, R l\u00e0 b\u00e1n k\u00ednh, \u0111\u01b0\u1eddng k\u00ednh d = 2R.<\/li>\n<\/ul>\n<p>&#8220;Th\u1ec3 t\u00edch h\u00ecnh c\u1ea7u&#8221; v\u00e0 &#8220;th\u1ec3 t\u00edch kh\u1ed1i c\u1ea7u&#8221; l\u00e0 c\u00f9ng m\u1ed9t \u0111\u1ea1i l\u01b0\u1ee3ng: l\u01b0\u1ee3ng kh\u00f4ng gian m\u00e0 kh\u1ed1i c\u1ea7u chi\u1ebfm ch\u1ed7.<\/p>\n<p><img decoding=\"async\" class=\"aligncenter size-full wp-image-306310\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-hinh-cau-3.jpg\" alt=\"M\u1eb7t c\u1ea7u t\u00e2m O b\u00e1n k\u00ednh R\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-hinh-cau-3.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-hinh-cau-3-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-hinh-cau-3-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2>C\u00f4ng th\u1ee9c t\u00ednh th\u1ec3 t\u00edch h\u00ecnh c\u1ea7u<\/h2>\n<p style=\"text-align: center;\"><strong>V = 4\/3\u00b7\u03c0R\u00b3 = \u03c0d\u00b3\/6<\/strong><\/p>\n<ul>\n<li>V: th\u1ec3 t\u00edch kh\u1ed1i c\u1ea7u (cm\u00b3, m\u00b3\u2026).<\/li>\n<li>R: b\u00e1n k\u00ednh; d: \u0111\u01b0\u1eddng k\u00ednh (d = 2R).<\/li>\n<li>\u03c0 \u2248 3,14 (ho\u1eb7c \u0111\u1ec3 nguy\u00ean k\u00fd hi\u1ec7u \u03c0 n\u1ebfu \u0111\u1ec1 y\u00eau c\u1ea7u).<\/li>\n<\/ul>\n<p><img decoding=\"async\" class=\"aligncenter size-full wp-image-306311\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-hinh-cau-4.jpg\" alt=\"C\u00f4ng th\u1ee9c th\u1ec3 t\u00edch h\u00ecnh c\u1ea7u V = 4\u03c0r\u00b3\/3\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-hinh-cau-4.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-hinh-cau-4-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-hinh-cau-4-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<p>Hai d\u1ea1ng c\u00f4ng th\u1ee9c l\u00e0 m\u1ed9t: thay R = d\/2 v\u00e0o 4\/3\u00b7\u03c0R\u00b3 \u0111\u01b0\u1ee3c 4\/3\u00b7\u03c0\u00b7d\u00b3\/8 = \u03c0d\u00b3\/6.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-306313 size-full\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-hinh-cau-11-1.jpg\" alt=\"C\u00f4ng th\u1ee9c th\u1ec3 t\u00edch, di\u1ec7n t\u00edch h\u00ecnh c\u1ea7u v\u00e0 quan h\u1ec7 d = 2r\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-hinh-cau-11-1.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-hinh-cau-11-1-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-hinh-cau-11-1-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2>C\u00e1c b\u01b0\u1edbc t\u00ednh th\u1ec3 t\u00edch h\u00ecnh c\u1ea7u<\/h2>\n<ol>\n<li><strong>X\u00e1c \u0111\u1ecbnh b\u00e1n k\u00ednh R.<\/strong> N\u1ebfu \u0111\u1ec1 cho \u0111\u01b0\u1eddng k\u00ednh, l\u1ea5y R = d : 2; n\u1ebfu cho di\u1ec7n t\u00edch m\u1eb7t c\u1ea7u S, l\u1ea5y R = \u221a(S \/ 4\u03c0).<\/li>\n<li><strong>T\u00ednh R\u00b3<\/strong> = R \u00d7 R \u00d7 R.<\/li>\n<li><strong>Nh\u00e2n v\u1edbi 4\/3\u00b7\u03c0:<\/strong> V = 4\/3 \u00d7 \u03c0 \u00d7 R\u00b3. C\u00f3 th\u1ec3 \u0111\u1ec3 k\u1ebft qu\u1ea3 theo \u03c0 ho\u1eb7c thay \u03c0 \u2248 3,14.<\/li>\n<li><strong>Ghi \u0111\u01a1n v\u1ecb kh\u1ed1i<\/strong> (cm\u00b3, m\u00b3).<\/li>\n<\/ol>\n<p>V\u00ed d\u1ee5: R = 1 cm th\u00ec V = 4\/3 \u00d7 \u03c0 \u00d7 1 = 4\/3\u00b7\u03c0 \u2248 4,19 cm\u00b3.<\/p>\n<h2>Th\u1ec3 t\u00edch h\u00ecnh c\u1ea7u theo t\u1eebng d\u1eef ki\u1ec7n<\/h2>\n<table>\n<thead>\n<tr>\n<th>\u0110\u1ec1 cho<\/th>\n<th>C\u00e1ch l\u00e0m<\/th>\n<th>V\u00ed d\u1ee5<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>B\u00e1n k\u00ednh R<\/td>\n<td>V = 4\/3\u00b7\u03c0R\u00b3<\/td>\n<td>R = 3 cm \u2192 V = 36\u03c0 \u2248 113,04 cm\u00b3<\/td>\n<\/tr>\n<tr>\n<td>\u0110\u01b0\u1eddng k\u00ednh d<\/td>\n<td>V = \u03c0d\u00b3\/6<\/td>\n<td>d = 10 cm \u2192 V = 1000\u03c0\/6 \u2248 523,33 cm\u00b3<\/td>\n<\/tr>\n<tr>\n<td>Di\u1ec7n t\u00edch m\u1eb7t c\u1ea7u S<\/td>\n<td>R = \u221a(S \/ 4\u03c0) r\u1ed3i t\u00ednh V<\/td>\n<td>S = 36\u03c0 cm\u00b2 \u2192 R = 3 cm \u2192 V = 36\u03c0 cm\u00b3<\/td>\n<\/tr>\n<tr>\n<td>Th\u1ec3 t\u00edch, c\u1ea7n t\u00ecm R<\/td>\n<td>R = \u221b(3V \/ 4\u03c0)<\/td>\n<td>V = 288\u03c0 cm\u00b3 \u2192 R\u00b3 = 216 \u2192 R = 6 cm<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-306309\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-hinh-cau-2.jpg\" alt=\"C\u00f4ng th\u1ee9c di\u1ec7n t\u00edch m\u1eb7t c\u1ea7u S = 4\u03c0r\u00b2 = \u03c0d\u00b2\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-hinh-cau-2.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-hinh-cau-2-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-hinh-cau-2-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2>B\u00e1n k\u00ednh thay \u0111\u1ed5i th\u00ec th\u1ec3 t\u00edch thay \u0111\u1ed5i th\u1ebf n\u00e0o?<\/h2>\n<p>Th\u1ec3 t\u00edch t\u1ec9 l\u1ec7 v\u1edbi l\u1eadp ph\u01b0\u01a1ng b\u00e1n k\u00ednh: b\u00e1n k\u00ednh t\u0103ng g\u1ea5p k l\u1ea7n th\u00ec th\u1ec3 t\u00edch t\u0103ng k\u00b3 l\u1ea7n. V\u00ed d\u1ee5 b\u00e1n k\u00ednh t\u0103ng t\u1eeb 1 cm l\u00ean 2 cm th\u00ec th\u1ec3 t\u00edch t\u0103ng t\u1eeb 4\/3\u00b7\u03c0 l\u00ean 32\/3\u00b7\u03c0 cm\u00b3, t\u1ee9c g\u1ea5p 8 l\u1ea7n. Trong khi \u0111\u00f3 di\u1ec7n t\u00edch m\u1eb7t c\u1ea7u ch\u1ec9 t\u0103ng 4 l\u1ea7n.<\/p>\n<h2>Th\u1ec3 t\u00edch n\u1eeda h\u00ecnh c\u1ea7u v\u00e0 ch\u1ecfm c\u1ea7u<\/h2>\n<p>N\u1eeda h\u00ecnh c\u1ea7u (b\u00e1n c\u1ea7u) c\u00f3 th\u1ec3 t\u00edch b\u1eb1ng m\u1ed9t n\u1eeda kh\u1ed1i c\u1ea7u: <strong>V = 2\/3\u00b7\u03c0R\u00b3<\/strong>. V\u00ed d\u1ee5 b\u00e1n c\u1ea7u b\u00e1n k\u00ednh 3 cm c\u00f3 V = 2\/3 \u00d7 3,14 \u00d7 27 \u2248 56,52 cm\u00b3.<\/p>\n<p>Ph\u1ea7n kh\u1ed1i c\u1ea7u b\u1ecb m\u1ed9t m\u1eb7t ph\u1eb3ng c\u1eaft ra g\u1ecdi l\u00e0 ch\u1ecfm c\u1ea7u; v\u1edbi chi\u1ec1u cao ch\u1ecfm h, th\u1ec3 t\u00edch l\u00e0 V = \u03c0h\u00b2(R \u2212 h\/3). D\u1ea1ng n\u00e0y th\u01b0\u1eddng g\u1eb7p \u1edf ch\u01b0\u01a1ng tr\u00ecnh l\u1edbp 12.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-306304\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-hinh-cau-10.jpg\" alt=\"Ch\u1ecfm c\u1ea7u t\u1ea1o b\u1edfi m\u1eb7t ph\u1eb3ng c\u1eaft kh\u1ed1i c\u1ea7u\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-hinh-cau-10.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-hinh-cau-10-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-hinh-cau-10-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2>B\u00e0i t\u1eadp th\u1ec3 t\u00edch h\u00ecnh c\u1ea7u c\u00f3 l\u1eddi gi\u1ea3i<\/h2>\n<p><strong>B\u00e0i 1:<\/strong> T\u00ednh th\u1ec3 t\u00edch kh\u1ed1i c\u1ea7u c\u00f3 \u0111\u01b0\u1eddng k\u00ednh 2 cm.<br \/>L\u1eddi gi\u1ea3i: R = 2 : 2 = 1 cm. V = 4\/3 \u00d7 3,14 \u00d7 1\u00b3 \u2248 4,19 cm\u00b3.<\/p>\n<p><strong>B\u00e0i 2:<\/strong> T\u00ednh th\u1ec3 t\u00edch kh\u1ed1i c\u1ea7u c\u00f3 b\u00e1n k\u00ednh 3 cm, \u0111\u1ec3 k\u1ebft qu\u1ea3 theo \u03c0.<br \/>L\u1eddi gi\u1ea3i: V = 4\/3 \u00d7 \u03c0 \u00d7 3\u00b3 = 4\/3 \u00d7 27\u03c0 = 36\u03c0 cm\u00b3.<\/p>\n<p><strong>B\u00e0i 3:<\/strong> M\u1ed9t qu\u1ea3 b\u00f3ng c\u00f3 \u0111\u01b0\u1eddng k\u00ednh 10 cm. T\u00ednh th\u1ec3 t\u00edch qu\u1ea3 b\u00f3ng.<br \/>L\u1eddi gi\u1ea3i: V = \u03c0d\u00b3\/6 = 3,14 \u00d7 1000 : 6 \u2248 523,33 cm\u00b3.<\/p>\n<p><strong>B\u00e0i 4:<\/strong> M\u1eb7t c\u1ea7u c\u00f3 di\u1ec7n t\u00edch 36\u03c0 cm\u00b2. T\u00ednh th\u1ec3 t\u00edch kh\u1ed1i c\u1ea7u.<br \/>L\u1eddi gi\u1ea3i: 4\u03c0R\u00b2 = 36\u03c0 \u21d2 R\u00b2 = 9 \u21d2 R = 3 cm. V = 4\/3\u00b7\u03c0\u00b727 = 36\u03c0 cm\u00b3.<\/p>\n<p><strong>B\u00e0i 5:<\/strong> Kh\u1ed1i c\u1ea7u c\u00f3 th\u1ec3 t\u00edch 288\u03c0 cm\u00b3. T\u00ednh b\u00e1n k\u00ednh.<br \/>L\u1eddi gi\u1ea3i: 4\/3\u00b7\u03c0R\u00b3 = 288\u03c0 \u21d2 R\u00b3 = 288 \u00d7 3 : 4 = 216 \u21d2 R = 6 cm.<\/p>\n<p><strong>B\u00e0i 6:<\/strong> B\u00e1n k\u00ednh t\u0103ng t\u1eeb 1 cm l\u00ean 2 cm th\u00ec th\u1ec3 t\u00edch thay \u0111\u1ed5i th\u1ebf n\u00e0o?<br \/>L\u1eddi gi\u1ea3i: V\u2081 = 4\/3\u00b7\u03c0, V\u2082 = 4\/3\u00b7\u03c0\u00b78 = 32\/3\u00b7\u03c0, n\u00ean th\u1ec3 t\u00edch t\u0103ng 8 l\u1ea7n.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-306314 size-full\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-hinh-cau-12-1.jpg\" alt=\"B\u00e0i t\u1eadp th\u1ec3 t\u00edch kh\u1ed1i c\u1ea7u\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-hinh-cau-12-1.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-hinh-cau-12-1-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-hinh-cau-12-1-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2>L\u01b0u \u00fd khi t\u00ednh th\u1ec3 t\u00edch h\u00ecnh c\u1ea7u<\/h2>\n<ul>\n<li>Ph\u1ea3i d\u00f9ng b\u00e1n k\u00ednh trong c\u00f4ng th\u1ee9c 4\/3\u00b7\u03c0R\u00b3; n\u1ebfu \u0111\u1ec1 cho \u0111\u01b0\u1eddng k\u00ednh th\u00ec chia \u0111\u00f4i ho\u1eb7c d\u00f9ng \u03c0d\u00b3\/6.<\/li>\n<li>Th\u1ec3 t\u00edch l\u00e0 \u0111\u01a1n v\u1ecb kh\u1ed1i (cm\u00b3, m\u00b3), kh\u00e1c di\u1ec7n t\u00edch l\u00e0 \u0111\u01a1n v\u1ecb vu\u00f4ng.<\/li>\n<li>1 dm\u00b3 = 1 l\u00edt, ti\u1ec7n khi \u0111\u1ed5i th\u1ec3 t\u00edch b\u1ed3n ch\u1ee9a h\u00ecnh c\u1ea7u sang l\u00edt.<\/li>\n<li>Ki\u1ec3m tra l\u1ea1i ph\u00e9p l\u0169y th\u1eeba b\u1eadc ba, \u0111\u00e2y l\u00e0 ch\u1ed7 hay sai nh\u1ea5t.<\/li>\n<\/ul>\n<h2>C\u00e2u h\u1ecfi th\u01b0\u1eddng g\u1eb7p<\/h2>\n<h3>C\u00f4ng th\u1ee9c t\u00ednh th\u1ec3 t\u00edch h\u00ecnh c\u1ea7u l\u00e0 g\u00ec?<\/h3>\n<p>Th\u1ec3 t\u00edch h\u00ecnh c\u1ea7u l\u00e0 V = 4\/3\u00b7\u03c0R\u00b3, v\u1edbi R l\u00e0 b\u00e1n k\u00ednh; n\u1ebfu bi\u1ebft \u0111\u01b0\u1eddng k\u00ednh d th\u00ec V = \u03c0d\u00b3\/6.<\/p>\n<h3>Th\u1ec3 t\u00edch h\u00ecnh c\u1ea7u v\u00e0 th\u1ec3 t\u00edch kh\u1ed1i c\u1ea7u c\u00f3 kh\u00e1c nhau kh\u00f4ng?<\/h3>\n<p>Kh\u00f4ng. Th\u1ec3 t\u00edch h\u00ecnh c\u1ea7u v\u00e0 th\u1ec3 t\u00edch kh\u1ed1i c\u1ea7u l\u00e0 c\u00f9ng m\u1ed9t \u0111\u1ea1i l\u01b0\u1ee3ng, \u0111\u1ec1u t\u00ednh b\u1eb1ng 4\/3\u00b7\u03c0R\u00b3.<\/p>\n<h3>Bi\u1ebft \u0111\u01b0\u1eddng k\u00ednh, t\u00ednh th\u1ec3 t\u00edch h\u00ecnh c\u1ea7u th\u1ebf n\u00e0o?<\/h3>\n<p>D\u00f9ng V = \u03c0d\u00b3\/6, ho\u1eb7c l\u1ea5y b\u00e1n k\u00ednh R = d\/2 r\u1ed3i t\u00ednh 4\/3\u00b7\u03c0R\u00b3. V\u00ed d\u1ee5 d = 10 cm th\u00ec V \u2248 523,33 cm\u00b3.<\/p>\n<h3>Th\u1ec3 t\u00edch n\u1eeda h\u00ecnh c\u1ea7u t\u00ednh th\u1ebf n\u00e0o?<\/h3>\n<p>Th\u1ec3 t\u00edch n\u1eeda h\u00ecnh c\u1ea7u b\u1eb1ng m\u1ed9t n\u1eeda kh\u1ed1i c\u1ea7u: V = 2\/3\u00b7\u03c0R\u00b3.<\/p>\n<h3>Bi\u1ebft th\u1ec3 t\u00edch, t\u00ecm b\u00e1n k\u00ednh h\u00ecnh c\u1ea7u th\u1ebf n\u00e0o?<\/h3>\n<p>R = \u221b(3V \/ 4\u03c0). V\u00ed d\u1ee5 V = 288\u03c0 cm\u00b3 th\u00ec R\u00b3 = 216 n\u00ean R = 6 cm.<\/p>\n<h3>B\u00e1n k\u00ednh t\u0103ng g\u1ea5p \u0111\u00f4i th\u00ec th\u1ec3 t\u00edch h\u00ecnh c\u1ea7u t\u0103ng bao nhi\u00eau l\u1ea7n?<\/h3>\n<p>T\u0103ng 8 l\u1ea7n, v\u00ec th\u1ec3 t\u00edch t\u1ec9 l\u1ec7 v\u1edbi l\u1eadp ph\u01b0\u01a1ng b\u00e1n k\u00ednh (2\u00b3 = 8).<\/p>\n<p><script type=\"application\/ld+json\">\n{\n  \"@context\": \"https:\/\/schema.org\",\n  \"@type\": \"FAQPage\",\n  \"mainEntity\": [\n    {\n      \"@type\": \"Question\",\n      \"name\": \"C\u00f4ng th\u1ee9c t\u00ednh th\u1ec3 t\u00edch h\u00ecnh c\u1ea7u l\u00e0 g\u00ec?\",\n      \"acceptedAnswer\": {\n        \"@type\": \"Answer\",\n        \"text\": \"Th\u1ec3 t\u00edch h\u00ecnh c\u1ea7u l\u00e0 V = 4\/3\u00b7\u03c0R\u00b3, v\u1edbi R l\u00e0 b\u00e1n k\u00ednh; n\u1ebfu bi\u1ebft \u0111\u01b0\u1eddng k\u00ednh d th\u00ec V = \u03c0d\u00b3\/6.\"\n      }\n    },\n    {\n      \"@type\": \"Question\",\n      \"name\": \"Th\u1ec3 t\u00edch h\u00ecnh c\u1ea7u v\u00e0 th\u1ec3 t\u00edch kh\u1ed1i c\u1ea7u c\u00f3 kh\u00e1c nhau kh\u00f4ng?\",\n      \"acceptedAnswer\": {\n        \"@type\": \"Answer\",\n        \"text\": \"Kh\u00f4ng. Th\u1ec3 t\u00edch h\u00ecnh c\u1ea7u v\u00e0 th\u1ec3 t\u00edch kh\u1ed1i c\u1ea7u l\u00e0 c\u00f9ng m\u1ed9t \u0111\u1ea1i l\u01b0\u1ee3ng, \u0111\u1ec1u t\u00ednh b\u1eb1ng 4\/3\u00b7\u03c0R\u00b3.\"\n      }\n    },\n    {\n      \"@type\": \"Question\",\n      \"name\": \"Bi\u1ebft \u0111\u01b0\u1eddng k\u00ednh, t\u00ednh th\u1ec3 t\u00edch h\u00ecnh c\u1ea7u th\u1ebf n\u00e0o?\",\n      \"acceptedAnswer\": {\n        \"@type\": \"Answer\",\n        \"text\": \"D\u00f9ng V = \u03c0d\u00b3\/6, ho\u1eb7c l\u1ea5y b\u00e1n k\u00ednh R = d\/2 r\u1ed3i t\u00ednh 4\/3\u00b7\u03c0R\u00b3. V\u00ed d\u1ee5 d = 10 cm th\u00ec V \u2248 523,33 cm\u00b3.\"\n      }\n    },\n    {\n      \"@type\": \"Question\",\n      \"name\": \"Th\u1ec3 t\u00edch n\u1eeda h\u00ecnh c\u1ea7u t\u00ednh th\u1ebf n\u00e0o?\",\n      \"acceptedAnswer\": {\n        \"@type\": \"Answer\",\n        \"text\": \"Th\u1ec3 t\u00edch n\u1eeda h\u00ecnh c\u1ea7u b\u1eb1ng m\u1ed9t n\u1eeda kh\u1ed1i c\u1ea7u: V = 2\/3\u00b7\u03c0R\u00b3.\"\n      }\n    },\n    {\n      \"@type\": \"Question\",\n      \"name\": \"Bi\u1ebft th\u1ec3 t\u00edch, t\u00ecm b\u00e1n k\u00ednh h\u00ecnh c\u1ea7u th\u1ebf n\u00e0o?\",\n      \"acceptedAnswer\": {\n        \"@type\": \"Answer\",\n        \"text\": \"R = \u221b(3V \/ 4\u03c0). V\u00ed d\u1ee5 V = 288\u03c0 cm\u00b3 th\u00ec R\u00b3 = 216 n\u00ean R = 6 cm.\"\n      }\n    },\n    {\n      \"@type\": \"Question\",\n      \"name\": \"B\u00e1n k\u00ednh t\u0103ng g\u1ea5p \u0111\u00f4i th\u00ec th\u1ec3 t\u00edch h\u00ecnh c\u1ea7u t\u0103ng bao nhi\u00eau l\u1ea7n?\",\n      \"acceptedAnswer\": {\n        \"@type\": \"Answer\",\n        \"text\": \"T\u0103ng 8 l\u1ea7n, v\u00ec th\u1ec3 t\u00edch t\u1ec9 l\u1ec7 v\u1edbi l\u1eadp ph\u01b0\u01a1ng b\u00e1n k\u00ednh (2\u00b3 = 8).\"\n      }\n    }\n  ]\n}\n<\/script><\/p>\n<h2>K\u1ebft lu\u1eadn<\/h2>\n<p>Th\u1ec3 t\u00edch h\u00ecnh c\u1ea7u \u0111\u01b0\u1ee3c t\u00ednh b\u1eb1ng V = 4\/3\u00b7\u03c0R\u00b3 ho\u1eb7c \u03c0d\u00b3\/6. X\u00e1c \u0111\u1ecbnh \u0111\u00fang b\u00e1n k\u00ednh, t\u00ednh l\u1eadp ph\u01b0\u01a1ng c\u1ea9n th\u1eadn v\u00e0 ghi \u0111\u01a1n v\u1ecb kh\u1ed1i l\u00e0 \u0111\u1ee7 \u0111\u1ec3 gi\u1ea3i c\u00e1c d\u1ea1ng b\u00e0i t\u1eeb c\u01a1 b\u1ea3n \u0111\u1ebfn t\u00ecm ng\u01b0\u1ee3c b\u00e1n k\u00ednh. \u0110\u1ec3 h\u1ecdc ti\u1ebfp, xem b\u00e0i <a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/dien-tich-hinh-cau\/\">di\u1ec7n t\u00edch h\u00ecnh c\u1ea7u<\/a>, <a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/the-tich-hinh-non\/\">th\u1ec3 t\u00edch h\u00ecnh n\u00f3n<\/a> v\u00e0 <a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/cong-thuc-the-tich-khoi-tron-xoay\/\">th\u1ec3 t\u00edch kh\u1ed1i tr\u00f2n xoay<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Th\u1ec3 t\u00edch h\u00ecnh c\u1ea7u (kh\u1ed1i c\u1ea7u) b\u1eb1ng b\u1ed1n ph\u1ea7n ba \u03c0 nh\u00e2n l\u1eadp ph\u01b0\u01a1ng b\u00e1n k\u00ednh: V = 4\/3\u00b7\u03c0R\u00b3, ho\u1eb7c V = \u03c0d\u00b3\/6 n\u1ebfu bi\u1ebft \u0111\u01b0\u1eddng k\u00ednh d. V\u00ed d\u1ee5 kh\u1ed1i c\u1ea7u b\u00e1n k\u00ednh 3 cm c\u00f3 th\u1ec3 t\u00edch V = 4\/3 \u00d7 \u03c0 \u00d7 27 = 36\u03c0 \u2248 113,04 cm\u00b3 (l\u1ea5y \u03c0 \u2248 3,14). [&hellip;]<\/p>\n","protected":false},"author":91,"featured_media":305891,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"th\u1ec3 t\u00edch h\u00ecnh c\u1ea7u","_yoast_wpseo_title":"C\u00f4ng th\u1ee9c t\u00ednh th\u1ec3 t\u00edch h\u00ecnh c\u1ea7u (kh\u1ed1i c\u1ea7u) v\u00e0 b\u00e0i t\u1eadp","_yoast_wpseo_metadesc":"Th\u1ec3 t\u00edch h\u00ecnh c\u1ea7u V = 4\/3\u03c0R\u00b3 = \u03c0d\u00b3\/6. C\u00e1c b\u01b0\u1edbc t\u00ednh, t\u00ecm b\u00e1n k\u00ednh khi bi\u1ebft th\u1ec3 t\u00edch, th\u1ec3 t\u00edch n\u1eeda h\u00ecnh c\u1ea7u v\u00e0 b\u00e0i t\u1eadp th\u1ec3 t\u00edch kh\u1ed1i c\u1ea7u c\u00f3 l\u1eddi gi\u1ea3i.","footnotes":""},"categories":[3910,30453],"tags":[],"class_list":["post-305862","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 v27.3 (Yoast SEO v27.4) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>C\u00f4ng th\u1ee9c t\u00ednh th\u1ec3 t\u00edch h\u00ecnh c\u1ea7u (kh\u1ed1i c\u1ea7u) v\u00e0 b\u00e0i t\u1eadp<\/title>\n<meta name=\"description\" content=\"Th\u1ec3 t\u00edch h\u00ecnh c\u1ea7u V = 4\/3\u03c0R\u00b3 = \u03c0d\u00b3\/6. C\u00e1c b\u01b0\u1edbc t\u00ednh, t\u00ecm b\u00e1n k\u00ednh khi bi\u1ebft th\u1ec3 t\u00edch, th\u1ec3 t\u00edch n\u1eeda h\u00ecnh c\u1ea7u v\u00e0 b\u00e0i t\u1eadp th\u1ec3 t\u00edch kh\u1ed1i c\u1ea7u c\u00f3 l\u1eddi gi\u1ea3i.\" \/>\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\/the-tich-hinh-cau\/\" \/>\n<meta property=\"og:locale\" content=\"vi_VN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Th\u1ec3 t\u00edch h\u00ecnh c\u1ea7u: C\u00f4ng th\u1ee9c t\u00ednh th\u1ec3 t\u00edch kh\u1ed1i c\u1ea7u v\u00e0 b\u00e0i t\u1eadp c\u00f3 l\u1eddi gi\u1ea3i\" \/>\n<meta property=\"og:description\" content=\"Th\u1ec3 t\u00edch h\u00ecnh c\u1ea7u V = 4\/3\u03c0R\u00b3 = \u03c0d\u00b3\/6. 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