{"id":2940,"date":"2026-10-20T12:31:03","date_gmt":"2026-10-20T11:31:03","guid":{"rendered":"https:\/\/wpcalc.com\/pt\/matematica\/calculadora-volume-cilindro\/"},"modified":"2026-10-20T12:31:03","modified_gmt":"2026-10-20T11:31:03","slug":"calculadora-volume-cilindro","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/pt\/matematica\/calculadora-volume-cilindro\/","title":{"rendered":"Calculadora de volume do cilindro"},"content":{"rendered":"<section class=\"not-prose calculator-box\" aria-labelledby=\"calculator-title\"><div class=\"flex items-baseline sm:items-center justify-between gap-2 sm:gap-3\"><div class=\"flex flex-col sm:flex-row sm:items-center gap-2\"><span class=\"icon icon-calculator text-primary-700! text-base! dark:text-primary-300!\" aria-hidden=\"true\"><\/span><h2 id=\"calculator-title\" class=\"text-lg font-display font-bold\">Calcule o volume, as dimens\u00f5es e a \u00e1rea da superf\u00edcie de um cilindro<\/h2><\/div><div class=\"calcdash-favorite group\">\n  <button type=\"button\" class=\"favorite\" id=\"favorite\" data-favorite-id=\"2940\" data-favorite-title=\"Volume do cilindro\" data-favorite-url=\"https:\/\/wpcalc.com\/pt\/matematica\/calculadora-volume-cilindro\/\" data-favorite-excerpt=\"Calcule o volume, a altura ou o raio de um cilindro maci\u00e7o ou oco. Informe as dimens\u00f5es ou o volume conhecido, escolha a unidade de comprimento e veja as \u00e1reas de superf\u00edcie e as convers\u00f5es de volume.\" aria-label=\"Adicionar aos favoritos\" data-favorite-icon=\"icon icon-geometry\">\n    <span class=\"icon icon-shape-star-empty\" aria-hidden=\"true\"><\/span>\n  <\/button>\n  <div class=\"calcdash-favorite__tip\" aria-hidden=\"true\">\n   <span class=\"favorite-tooltip\" id=\"favorite-tooltip\"><\/span>\n  <\/div>\n  <span class=\"sr-only\" role=\"status\" id=\"favorite-status\"><\/span>\n<\/div><\/div><form action=\"https:\/\/wpcalc.com\/pt\/matematica\/calculadora-volume-cilindro\/\" method=\"POST\" class=\"calculator\" id=\"calculator-2940\" data-post=\"2940\"><fieldset class=\"fieldset-input is-2\"><legend class=\"sr-only\">Campos de entrada<\/legend><div class=\"field\" id=\"input-1\"><label for=\"field-1\">Calcular<\/label><div class=\"grid grid-cols-1\"><select id=\"field-1\" name=\"calcular\"><option value=\"volume\" selected>Volume<\/option><option value=\"height\">Altura a partir do volume<\/option><option value=\"radius\">Raio a partir do volume e da altura<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><div class=\"field\" id=\"input-2\"><label for=\"field-2\">Tipo de cilindro<\/label><div class=\"grid grid-cols-1\"><select id=\"field-2\" name=\"tipo_de_cilindro\"><option value=\"solid\" selected>Cilindro maci\u00e7o<\/option><option value=\"hollow\">Cilindro oco (tubo ou cano)<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><div class=\"field\" id=\"input-3\"><label for=\"field-3\">Medida do cilindro maci\u00e7o<\/label><div class=\"grid grid-cols-1\"><select id=\"field-3\" name=\"medida_do_cilindro_macio\"><option value=\"radius\" selected>Raio<\/option><option value=\"diameter\">Di\u00e2metro<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><div class=\"field has-term\" id=\"input-4\"><label for=\"field-4\">Raio (r)<\/label><div class=\"term\">r<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"raio_r\" id=\"field-4\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"0\" value=\"5\"\/><\/div><div class=\"field has-term\" id=\"input-5\" hidden><label for=\"field-5\">Di\u00e2metro (d)<\/label><div class=\"term\">d<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"dimetro_d\" id=\"field-5\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"0\" value=\"10\"\/><\/div><div class=\"field has-term\" id=\"input-6\" hidden><label for=\"field-6\">Di\u00e2metro externo (D)<\/label><div class=\"term\">D<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"dimetro_externo_d\" id=\"field-6\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"0\" value=\"10\"\/><\/div><div class=\"field has-term\" id=\"input-7\" hidden><label for=\"field-7\">Di\u00e2metro interno (d)<\/label><div class=\"term\">d<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"dimetro_interno_d\" id=\"field-7\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"0\" value=\"6\"\/><\/div><div class=\"field has-term\" id=\"input-8\"><label for=\"field-8\">Altura (h)<\/label><div class=\"term\">h<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"altura_h\" id=\"field-8\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"0\" value=\"12\"\/><\/div><div class=\"field has-term\" id=\"input-9\" hidden><label for=\"field-9\">Volume conhecido (V)<\/label><div class=\"term\">V<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"volume_conhecido_v\" id=\"field-9\" aria-describedby=\"calc-info-9\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"0\" value=\"1000\"\/><small id=\"calc-info-9\">Informe o volume na unidade c\u00fabica selecionada abaixo.<\/small><\/div><div class=\"field\" id=\"input-10\"><label for=\"field-10\">Unidade de comprimento<\/label><div class=\"grid grid-cols-1\"><select id=\"field-10\" name=\"unidade_de_comprimento\"><option value=\"mm\">Mil\u00edmetros (mm)<\/option><option value=\"cm\" selected>Cent\u00edmetros (cm)<\/option><option value=\"m\">Metros (m)<\/option><option value=\"in\">Polegadas (in)<\/option><option value=\"ft\">P\u00e9s (ft)<\/option><option value=\"yd\">Jardas (yd)<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><\/fieldset><div class=\"buttons\"><button type=\"submit\" data-text=\"Recalcular\" id=\"calculate-button\" data-post=\"2940\">Calcular<\/button><button type=\"reset\">Redefinir<\/button><\/div><div class=\"field is-checkbox hidden!\" id=\"field-auto-calc\"><input type=\"checkbox\" id=\"auto-calc\"><label for=\"auto-calc\">Calcular automaticamente<\/label><small>Se ativado, o resultado \u00e9 atualizado automaticamente quando voc\u00ea altera qualquer valor.<\/small><\/div><div class=\"fieldset-result is-hidden\" aria-labelledby=\"result-title\" aria-live=\"polite\" role=\"region\"> <h3 class=\"result-title bg-gradient-to-r from-primary-50 to-gray-50 dark:from-primary-900 dark:to-gray-800\" id=\"result-title\"><span class=\"icon icon-s-pulse\" aria-hidden=\"true\"><\/span> Resultados do cilindro<\/h3><div class=\"result-box\"><div class=\"field-result\" id=\"output-1\"><span class=\"field-title\"><span>Volume<\/span><span class=\"result-term\">V<\/span><\/span><span class=\"field-value\" id=\"result-1\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copiar resultado\" aria-label=\"Copiar resultado\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result\" id=\"output-2\"><span class=\"field-title\"><span>Volume em litros<\/span><\/span><span class=\"field-value\" id=\"result-2\" data-unit=\"L\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copiar resultado\" aria-label=\"Copiar resultado\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result\" id=\"output-3\"><span class=\"field-title\"><span>Volume em gal\u00f5es americanos<\/span><\/span><span class=\"field-value\" id=\"result-3\" data-unit=\"US gal\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copiar resultado\" aria-label=\"Copiar resultado\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result\" id=\"output-4\"><span class=\"field-title\"><span>Volume em p\u00e9s c\u00fabicos<\/span><\/span><span class=\"field-value\" id=\"result-4\" data-unit=\"ft\u00b3\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copiar resultado\" aria-label=\"Copiar resultado\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result\" id=\"output-5\"><span class=\"field-title\"><span>Volume em metros c\u00fabicos<\/span><\/span><span class=\"field-value\" id=\"result-5\" data-unit=\"m\u00b3\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copiar resultado\" aria-label=\"Copiar resultado\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result\" id=\"output-6\"><span class=\"field-title\"><span>\u00c1rea da superf\u00edcie lateral<\/span><span class=\"result-term\">A\u2097<\/span><\/span><span class=\"field-value\" id=\"result-6\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copiar resultado\" aria-label=\"Copiar resultado\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result\" id=\"output-7\"><span class=\"field-title\"><span>\u00c1rea da superf\u00edcie total<\/span><span class=\"result-term\">A\u209c<\/span><\/span><span class=\"field-value\" id=\"result-7\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copiar resultado\" aria-label=\"Copiar resultado\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result\" id=\"output-8\"><span class=\"field-title\"><span>Raio (raio externo no caso de um tubo)<\/span><span class=\"result-term\">R<\/span><\/span><span class=\"field-value\" id=\"result-8\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copiar resultado\" aria-label=\"Copiar resultado\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result\" id=\"output-9\"><span class=\"field-title\"><span>Di\u00e2metro (di\u00e2metro externo no caso de um tubo)<\/span><span class=\"result-term\">D<\/span><\/span><span class=\"field-value\" id=\"result-9\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copiar resultado\" aria-label=\"Copiar resultado\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result\" id=\"output-10\"><span class=\"field-title\"><span>Altura<\/span><span class=\"result-term\">h<\/span><\/span><span class=\"field-value\" id=\"result-10\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copiar resultado\" aria-label=\"Copiar resultado\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result is-column\" id=\"output-11\"><span class=\"field-title\"><span>F\u00f3rmula com as suas medidas<\/span><\/span><span class=\"field-value\" id=\"result-11\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copiar resultado\" aria-label=\"Copiar resultado\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><\/div><div class=\"result-actions\"><button type=\"button\" class=\"copy-link\"><svg viewBox=\"0 0 20 20\" fill=\"currentColor\" aria-hidden=\"true\"><path d=\"M12.232 4.232a2.5 2.5 0 0 1 3.536 3.536l-1.225 1.224a.75.75 0 0 0 1.061 1.06l1.224-1.224a4 4 0 0 0-5.656-5.656l-3 3a4 4 0 0 0 .225 5.865.75.75 0 0 0 .977-1.138 2.5 2.5 0 0 1-.142-3.667l3-3Z\"\/><path d=\"M11.603 7.963a.75.75 0 0 0-.977 1.138 2.5 2.5 0 0 1 .142 3.667l-3 3a2.5 2.5 0 0 1-3.536-3.536l1.225-1.224a.75.75 0 0 0-1.061-1.06l-1.224 1.224a4 4 0 1 0 5.656 5.656l3-3a4 4 0 0 0-.225-5.865Z\"\/><\/svg><span class=\"copy-link__text\">Copiar link para este c\u00e1lculo<\/span><\/button><span class=\"sr-only\" role=\"status\" id=\"copy-link-status\"><\/span><\/div><\/div><a href=\"#respond\" class=\"hidden transition-opacity duration-300 opacity-0 w-50 text-sm justify-center items-center gap-2 px-4 py-2 rounded bg-gray-200 text-gray-700 hover:bg-gray-300\" id=\"leave-comment\"><span class=\"icon icon-comments\" aria-hidden=\"true\"><\/span>Deixar um coment\u00e1rio<\/a><\/form><\/section><section id=\"calc-reactions\" class=\"not-prose hidden my-12 bg-gradient-to-r from-primary-50 to-gray-50 border border-indigo-100 rounded-xl px-6 py-4 shadow-sm\" data-post=\"2940\" aria-live=\"polite\" aria-labelledby=\"calc-reactions-title\"><p id=\"calc-reactions-title\" class=\"text-sm text-gray-500 text-center mb-2\">O que voc\u00ea achou deste resultado?<\/p><div role=\"group\" aria-labelledby=\"calc-reactions-title\" class=\"grid grid-cols-3 sm:flex sm:flex-row sm:justify-around gap-4 sm:items-center sm:flex-wrap\"><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"like\"><span class=\"reaction-count\" data-reaction-count=\"like\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude00 <\/span><span class=\"reaction-description font-medium\">Curti <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"helpful\"><span class=\"reaction-count\" data-reaction-count=\"helpful\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\udca1 <\/span><span class=\"reaction-description font-medium\">\u00datil <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"confused\"><span class=\"reaction-count\" data-reaction-count=\"confused\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude15 <\/span><span class=\"reaction-description font-medium\">Confuso <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"disappointed\"><span class=\"reaction-count\" data-reaction-count=\"disappointed\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude1e <\/span><span class=\"reaction-description font-medium\">Decepcionado <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"inaccurate\"><span class=\"reaction-count\" data-reaction-count=\"inaccurate\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\u274c <\/span><span class=\"reaction-description font-medium\">Impreciso <\/span><\/button><\/div><div id=\"reaction-message\" class=\"hidden mt-8 rounded-md border border-primary-100 bg-white\/50 backdrop-blur-sm px-4 py-2 text-sm text-center shadow-sm\"><\/div><\/section><div class=\"calcdash-ad not-prose calcdash-ad--calc_result calcdash-ad--in-article\"><ins class=\"adsbygoogle\" style=\"display:block\" data-ad-client=\"ca-pub-1721569815777345\" data-ad-slot=\"6317458308\" data-ad-layout=\"in-article\" data-ad-format=\"fluid\"><\/ins><script>(adsbygoogle = window.adsbygoogle || []).push({});<\/script><\/div>\n<style id=\"wpcoderpro-inline-1\">.formula-box {\r\n\tborder-bottom: none !important;\r\n}<\/style><section class=\"formula-box\" aria-labelledby=\"formula-title\">\r\n\t<div id=\"formula-title\" class=\"not-prose font-display mb-4\"><span class=\"icon icon-formula\" aria-hidden=\"true\"><\/span><h2>F\u00f3rmula do volume do cilindro<\/h2><\/div>\r\n\t<figure class=\"not-prose formula\">\r\n\t\t<figcaption class=\"formula-title\">F\u00f3rmula<\/figcaption>\r\n\t\t<div class=\"text-base text-gray-800\" id=\"formula\">\n\\[\\begin{aligned}V_{\\text{macico}}&amp;=\\pi r^{2}h &amp; V_{\\text{oco}}&amp;=\\pi(R^{2}-r^{2})h\\\\h&amp;=\\frac{V}{\\pi r^{2}}\\ \\text{(macico)} &amp; h&amp;=\\frac{V}{\\pi(R^{2}-r^{2})}\\ \\text{(oco)}\\\\r&amp;=\\sqrt{\\frac{V}{\\pi h}}\\ \\text{(macico)} &amp; R&amp;=\\sqrt{\\frac{V}{\\pi h}+r^{2}}\\ \\text{(oco)}\\\\A_{\\mathrm{l,macico}}&amp;=2\\pi rh &amp; A_{\\mathrm{l,oco}}&amp;=2\\pi h(R+r)\\\\A_{\\mathrm{t,macico}}&amp;=A_{\\mathrm{l,macico}}+2\\pi r^{2} &amp; A_{\\mathrm{t,oco}}&amp;=A_{\\mathrm{l,oco}}+2\\pi(R^{2}-r^{2})\\end{aligned}\\]\n<\/div>\r\n\t<\/figure>\r\n\t<\/p>\n<p><strong>Onde:<\/strong><\/p>\n<ul>\n<li>\\(V\\) \u2014 volume do cilindro, em unidades c\u00fabicas<\/li>\n<li>\\(r\\) \u2014 raio de um cilindro maci\u00e7o, ou raio interno de um cilindro oco<\/li>\n<li>\\(R\\) \u2014 raio externo de um cilindro oco<\/li>\n<li>\\(h\\) \u2014 altura do cilindro<\/li>\n<li>\\(A_{\\mathrm{l}}\\) \u2014 \u00e1rea da superf\u00edcie lateral, em unidades quadradas<\/li>\n<li>\\(A_{\\mathrm{t}}\\) \u2014 \u00e1rea da superf\u00edcie total, em unidades quadradas<\/li>\n<\/ul>\n<p>O volume \u00e9 a \u00e1rea da se\u00e7\u00e3o transversal \u2014 circular ou em forma de anel \u2014 multiplicada pela altura. No caso de um cilindro oco, o resultado corresponde ao volume de material entre as superf\u00edcies interna e externa, e n\u00e3o ao volume do espa\u00e7o vazio no interior.<\/p>\n<p>\r\n<\/section>\n<style id=\"wpcoderpro-inline-2\">.calculation-box {\r\n\tborder-bottom: none !important;\r\n}<\/style><section id=\"calculation\" class=\"calculation-box\" aria-labelledby=\"calculation-title\">\r\n\t<div id=\"calculation-title\" class=\"not-prose font-display\"><span class=\"icon icon-unordered-list\" aria-hidden=\"true\"><\/span><h2>Volume do cilindro \u2013 exemplo de c\u00e1lculo<\/h2><\/div>\r\n\r\n<\/p>\n<p><strong>Exemplo:<\/strong> usando as configura\u00e7\u00f5es padr\u00e3o, calcule o volume de um cilindro maci\u00e7o com raio de 5 cm e altura de 12 cm.<\/p>\n<p>\\[V=\\pi r^{2}h=\\pi(5\\ \\mathrm{cm})^{2}(12\\ \\mathrm{cm})=300\\pi\\ \\mathrm{cm}^{3}\\approx942.477796\\ \\mathrm{cm}^{3}\\]<\/p>\n<p>A \u00e1rea da superf\u00edcie curva \u00e9 \\(2\\pi(5)(12)=120\\pi\\approx376.991118\\ \\mathrm{cm}^{2}\\). Incluindo as duas bases circulares, a \u00e1rea de superf\u00edcie total \u00e9 \\(170\\pi\\approx534.070751\\ \\mathrm{cm}^{2}\\).<\/p>\n<p><strong>Resultado:<\/strong> o volume \u00e9 de aproximadamente 942,478 cm\u00b3, ou 0,942478 L.<\/p>\n<p>\n\r\n<\/section>\n<h2>Como usar a calculadora<\/h2>\n<ol>\n<li>Em <strong>Calcular<\/strong>, escolha <strong>Volume<\/strong>, <strong>Altura a partir do volume<\/strong> ou <strong>Raio a partir do volume e da altura<\/strong>. A calculadora exibe os campos necess\u00e1rios para a op\u00e7\u00e3o escolhida.<\/li>\n<li>Escolha o <strong>Tipo de cilindro<\/strong>: <strong>Cilindro maci\u00e7o<\/strong> para uma se\u00e7\u00e3o transversal circular completa, ou <strong>Cilindro oco (tubo ou cano)<\/strong> para uma se\u00e7\u00e3o transversal em forma de anel.<\/li>\n<li>Para um cilindro maci\u00e7o, ao calcular o volume ou a altura, use <strong>Medi\u00e7\u00e3o do cilindro maci\u00e7o<\/strong> para escolher entre <strong>Raio<\/strong> ou <strong>Di\u00e2metro<\/strong> e informe <strong>Raio (r)<\/strong> ou <strong>Di\u00e2metro (d)<\/strong>. Para um cilindro oco, informe o <strong>Di\u00e2metro externo (D)<\/strong> e o <strong>Di\u00e2metro interno (d)<\/strong> quando esses campos aparecerem. O di\u00e2metro externo deve ser maior que o interno.<\/li>\n<li>Informe a <strong>Altura (h)<\/strong> ao calcular o volume ou o raio. Informe o <strong>Volume conhecido (V)<\/strong> ao calcular a altura ou o raio. Para encontrar o raio externo de um tubo, informe tamb\u00e9m o <strong>Di\u00e2metro interno (d)<\/strong>.<\/li>\n<li>Escolha a <strong>Unidade de comprimento<\/strong>. Todos os comprimentos informados usam essa unidade, enquanto o <strong>Volume conhecido (V)<\/strong> usa a unidade c\u00fabica correspondente \u2014 por exemplo, cm e cm\u00b3. Consulte a dimens\u00e3o calculada, o volume, as \u00e1reas de superf\u00edcie e as convers\u00f5es em <strong>Resultados do cilindro<\/strong>.<\/li>\n<\/ol>\n<h2>O que o volume do cilindro revela<\/h2>\n<p>O volume do cilindro mede um espa\u00e7o tridimensional. No caso de um cilindro maci\u00e7o, imagine se\u00e7\u00f5es circulares id\u00eanticas empilhadas ao longo da altura: cada uma tem \u00e1rea \\(\\pi r^{2}\\), de modo que multiplicar pela altura resulta em \\(\\pi r^{2}h\\). O di\u00e2metro abrange toda a largura do c\u00edrculo e equivale ao dobro do raio. Se voc\u00ea mediu um di\u00e2metro, a calculadora o divide por dois antes de usar o raio na f\u00f3rmula.<\/p>\n<p>Um cilindro oco tem material ao redor de um centro vazio. Sua se\u00e7\u00e3o transversal \u00e9 um anel, por isso \u00e9 preciso subtrair a \u00e1rea do c\u00edrculo interno da \u00e1rea do c\u00edrculo externo antes de multiplicar pela altura. Essa distin\u00e7\u00e3o importa quando se estima a quantidade de material de um cano ou tubo. Se o que voc\u00ea precisa \u00e9 do espa\u00e7o <em>dentro<\/em> do tubo, calcule \\(\\pi r^{2}h\\) usando o raio interno e o comprimento interno correspondente; o volume exibido para o cilindro oco n\u00e3o representa essa capacidade.<\/p>\n<p>Tamb\u00e9m \u00e9 poss\u00edvel partir de um volume conhecido. Selecione <strong>Altura a partir do volume<\/strong> para encontrar a altura necess\u00e1ria a uma se\u00e7\u00e3o transversal espec\u00edfica, ou <strong>Raio a partir do volume e da altura<\/strong> para encontrar o raio de um cilindro maci\u00e7o ou o raio <em>externo<\/em> de um tubo. O resultado tamb\u00e9m traz o volume em litros, gal\u00f5es americanos, p\u00e9s c\u00fabicos e metros c\u00fabicos, independentemente da unidade de comprimento escolhida. O resultado principal do volume permanece na forma c\u00fabica da unidade selecionada.<\/p>\n<h2>\u00c1rea de superf\u00edcie e dicas de medi\u00e7\u00e3o<\/h2>\n<p>A <strong>\u00e1rea da superf\u00edcie lateral<\/strong> \u00e9 a \u00e1rea da parte curva. Para um cilindro maci\u00e7o, ela inclui apenas a superf\u00edcie curva externa. Para um cilindro oco, inclui tanto a superf\u00edcie curva externa quanto a interna. A <strong>\u00e1rea da superf\u00edcie total<\/strong> soma as duas bases circulares de um cilindro maci\u00e7o ou as duas faces em forma de anel de um tubo. S\u00e3o \u00e1reas geom\u00e9tricas; se um objeto f\u00edsico tem faces expostas, cobertas ou unidas, a \u00e1rea de que voc\u00ea realmente precisa pode ser diferente. Para um c\u00e1lculo voltado a medidas de superf\u00edcie, consulte a <a href=\"https:\/\/wpcalc.com\/pt\/matematica\/area-superficie-cilindro\/\">Calculadora de \u00e1rea de superf\u00edcie do cilindro<\/a>.<\/p>\n<p>Use medidas positivas e mantenha todos os comprimentos na mesma unidade. Por exemplo, converta mil\u00edmetros para cent\u00edmetros antes de informar dimens\u00f5es junto com uma altura em cent\u00edmetros. As medidas devem descrever um cilindro reto, com se\u00e7\u00f5es circulares constantes; um recipiente c\u00f4nico \u00e9 melhor modelado pela <a href=\"https:\/\/wpcalc.com\/pt\/matematica\/calculadora-volume-area-cone\/\">Calculadora de volume e \u00e1rea de superf\u00edcie do cone<\/a>. Para uma forma esf\u00e9rica, use a <a href=\"https:\/\/wpcalc.com\/en\/mathematics\/sphere-volume-and-surface-area-calculator\/\">Calculadora de volume e \u00e1rea de superf\u00edcie da esfera<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Calcule o volume, a altura ou o raio de um cilindro maci\u00e7o ou oco. Informe as dimens\u00f5es ou o volume conhecido, escolha a unidade de comprimento e veja as \u00e1reas de superf\u00edcie e as convers\u00f5es de volume.<\/p>\n","protected":false},"author":3168,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[8],"tags":[42],"class_list":["post-2940","post","type-post","status-publish","format-standard","hentry","category-matematica","tag-geometria"],"acf":[],"_links":{"self":[{"href":"https:\/\/wpcalc.com\/pt\/wp-json\/wp\/v2\/posts\/2940","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wpcalc.com\/pt\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wpcalc.com\/pt\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/pt\/wp-json\/wp\/v2\/users\/3168"}],"replies":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/pt\/wp-json\/wp\/v2\/comments?post=2940"}],"version-history":[{"count":0,"href":"https:\/\/wpcalc.com\/pt\/wp-json\/wp\/v2\/posts\/2940\/revisions"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/pt\/wp-json\/wp\/v2\/media?parent=2940"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/pt\/wp-json\/wp\/v2\/categories?post=2940"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/pt\/wp-json\/wp\/v2\/tags?post=2940"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}