{"id":2079,"date":"2026-10-14T18:08:00","date_gmt":"2026-10-14T17:08:00","guid":{"rendered":"https:\/\/wpcalc.com\/pt\/matematica\/calculadora-volume-area-cone\/"},"modified":"2026-10-14T18:08:00","modified_gmt":"2026-10-14T17:08:00","slug":"calculadora-volume-area-cone","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/pt\/matematica\/calculadora-volume-area-cone\/","title":{"rendered":"Calculadora de volume e \u00e1rea do cone"},"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 cone a partir do raio e da altura ou da geratriz<\/h2><\/div><div class=\"calcdash-favorite group\">\n  <button type=\"button\" class=\"favorite\" id=\"favorite\" data-favorite-id=\"2079\" data-favorite-title=\"Volume e \u00e1rea do cone\" data-favorite-url=\"https:\/\/wpcalc.com\/pt\/matematica\/calculadora-volume-area-cone\/\" data-favorite-excerpt=\"Calcule o volume, a geratriz, a \u00e1rea lateral, a \u00e1rea da base e a \u00e1rea total de um cone circular reto. Informe o raio e a altura ou a geratriz.\" 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-area-cone\/\" method=\"POST\" class=\"calculator\" id=\"calculator-2079\" data-post=\"2079\"><fieldset class=\"fieldset-input is-2\"><legend class=\"sr-only\">Campos de entrada<\/legend><div class=\"field has-term\" id=\"input-1\"><label for=\"field-1\">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><div class=\"field-group\"><input type=\"text\" name=\"raio_r\" id=\"field-1\" aria-describedby=\"calc-info-1\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" placeholder=\"3\" min=\"0\" value=\"3\"\/><div class=\"grid grid-cols-1\"><select id=\"field-2\" name=\"unidade\" aria-label=\"Unidade\"><option value=\"m\">m<\/option><option value=\"cm\" selected>cm<\/option><option value=\"mm\">mm<\/option><option value=\"ft\">ft<\/option><option value=\"in\">in<\/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><small id=\"calc-info-1\">Raio da base circular.<\/small><\/div><div class=\"field\" id=\"input-2\"><label for=\"field-3\">Segunda dimens\u00e3o<\/label><div class=\"grid grid-cols-1\"><select id=\"field-3\" name=\"segunda_dimenso\"><option value=\"height\" selected>Altura (h)<\/option><option value=\"slant\">Geratriz (l)<\/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-3\"><label for=\"field-4\">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><div class=\"field-group\"><input type=\"text\" name=\"altura_h\" id=\"field-4\" aria-describedby=\"calc-info-4\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" placeholder=\"4\" min=\"0\" value=\"4\"\/><div class=\"grid grid-cols-1\"><select id=\"field-5\" name=\"unidade\" aria-label=\"Unidade\"><option value=\"m\">m<\/option><option value=\"cm\" selected>cm<\/option><option value=\"mm\">mm<\/option><option value=\"ft\">ft<\/option><option value=\"in\">in<\/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><small id=\"calc-info-4\">Dist\u00e2ncia perpendicular da base at\u00e9 o v\u00e9rtice.<\/small><\/div><div class=\"field has-term\" id=\"input-4\" hidden><label for=\"field-6\">Geratriz (l)<\/label><div class=\"term\">l<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><div class=\"field-group\"><input type=\"text\" name=\"geratriz_l\" id=\"field-6\" aria-describedby=\"calc-info-6\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" placeholder=\"5\" min=\"0\" value=\"5\"\/><div class=\"grid grid-cols-1\"><select id=\"field-7\" name=\"unidade\" aria-label=\"Unidade\"><option value=\"m\">m<\/option><option value=\"cm\" selected>cm<\/option><option value=\"mm\">mm<\/option><option value=\"ft\">ft<\/option><option value=\"in\">in<\/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><small id=\"calc-info-6\">Dist\u00e2ncia da borda da base at\u00e9 o v\u00e9rtice ao longo da superf\u00edcie.<\/small><\/div><\/fieldset><div class=\"buttons\"><button type=\"submit\" data-text=\"Recalcular\" id=\"calculate-button\" data-post=\"2079\">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> Seu cone<\/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>Altura (h)<\/span><span class=\"result-term\">h<\/span><\/span><span class=\"field-value\" id=\"result-2\"><\/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>Geratriz<\/span><span class=\"result-term\">l<\/span><\/span><span class=\"field-value\" id=\"result-3\"><\/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>\u00c1rea lateral<\/span><span class=\"result-term\">A_L<\/span><\/span><span class=\"field-value\" id=\"result-4\"><\/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>\u00c1rea da base<\/span><span class=\"result-term\">A_B<\/span><\/span><span class=\"field-value\" id=\"result-5\"><\/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 total<\/span><span class=\"result-term\">A<\/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 is-column\" id=\"output-7\"><span class=\"field-title\"><span>Etapas do c\u00e1lculo<\/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><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=\"2079\" 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 de volume e \u00e1rea do cone<\/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\\[ V = \\frac{1}{3}\\pi r^2 h \\qquad l = \\sqrt{r^2 + h^2} \\qquad h = \\sqrt{l^2 - r^2} \\\\\n A_L = \\pi r l \\qquad A_B = \\pi r^2 \\qquad A = \\pi r (r + l) \\]\n<\/div>\r\n\t<\/figure>\r\n\t<\/p>\n<p><strong>Onde:<\/strong><\/p>\n<ul>\n<li>\\(r\\) \u2014 raio da base circular<\/li>\n<li>\\(h\\) \u2014 altura vertical (perpendicular) da base at\u00e9 o v\u00e9rtice<\/li>\n<li>\\(l\\) \u2014 geratriz, medida ao longo da superf\u00edcie, da borda da base at\u00e9 o v\u00e9rtice<\/li>\n<li>\\(V\\) \u2014 volume<\/li>\n<li>\\(A_L\\) \u2014 \u00e1rea lateral (da superf\u00edcie lateral)<\/li>\n<li>\\(A_B\\) \u2014 \u00e1rea da base<\/li>\n<li>\\(A\\) \u2014 \u00e1rea total (lateral + base)<\/li>\n<\/ul>\n<p>Essas f\u00f3rmulas descrevem um cone circular reto, cujo eixo \u00e9 perpendicular \u00e0 base. A altura e a geratriz est\u00e3o ligadas pelo teorema de Pit\u00e1goras, ent\u00e3o conhecer uma delas \u00e9 suficiente para encontrar a outra.<\/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 e \u00e1rea do cone \u2013 exemplo de c\u00e1lculo<\/h2><\/div>\r\n\r\n<\/p>\n<p><strong>Exemplo:<\/strong> um cone com raio da base de 3 cm e altura vertical de 4 cm (os valores padr\u00e3o da calculadora).<\/p>\n<p>\\[ l = \\sqrt{r^2 + h^2} = \\sqrt{3^2 + 4^2} = \\sqrt{25} = 5 \\text{ cm} \\]<\/p>\n<p>\\[ V = \\frac{1}{3}\\pi r^2 h = \\frac{1}{3}\\pi \\cdot 3^2 \\cdot 4 = 12\\pi \\approx 37.699 \\text{ cm}^3 \\]<\/p>\n<p>\\[ A_L = \\pi r l = \\pi \\cdot 3 \\cdot 5 = 15\\pi \\approx 47.124 \\text{ cm}^2 \\]<\/p>\n<p>\\[ A_B = \\pi r^2 = \\pi \\cdot 3^2 = 9\\pi \\approx 28.274 \\text{ cm}^2 \\]<\/p>\n<p>\\[ A = A_L + A_B = 15\\pi + 9\\pi = 24\\pi \\approx 75.398 \\text{ cm}^2 \\]<\/p>\n<p><strong>Resultado:<\/strong> o cone tem volume de aproximadamente 37,699 cm\u00b3, geratriz de 5 cm, \u00e1rea lateral de 47,124 cm\u00b2, \u00e1rea da base de 28,274 cm\u00b2 e \u00e1rea total de 75,398 cm\u00b2.<\/p>\n<p>\n\r\n<\/section>\n<h2>Como usar a calculadora<\/h2>\n<ol>\n<li>Digite o <strong>raio (r)<\/strong> da base circular e escolha sua unidade (m, cm, mm, ft ou in).<\/li>\n<li>Escolha a <strong>segunda dimens\u00e3o<\/strong>: selecione <em>altura (h)<\/em> se voc\u00ea conhece a altura vertical, ou <em>geratriz (l)<\/em> se voc\u00ea conhece a dist\u00e2ncia ao longo da lateral.<\/li>\n<li>Digite o valor no campo que aparece \u2014 <strong>altura (h)<\/strong> ou <strong>geratriz (l)<\/strong> \u2014 e selecione sua unidade. As duas unidades n\u00e3o precisam ser iguais; a calculadora faz a convers\u00e3o automaticamente.<\/li>\n<li>Confira os resultados: <strong>volume<\/strong>, <strong>altura (h)<\/strong>, <strong>geratriz<\/strong>, <strong>\u00e1rea lateral<\/strong>, <strong>\u00e1rea da base<\/strong> e <strong>\u00e1rea total<\/strong>, todos expressos na unidade do raio, al\u00e9m do c\u00e1lculo passo a passo.<\/li>\n<\/ol>\n<h2>O que \u00e9 um cone circular reto?<\/h2>\n<p>Um cone circular reto \u00e9 um s\u00f3lido tridimensional com uma base circular e um \u00fanico v\u00e9rtice (ponta) situado exatamente acima do centro da base. Duas medidas de comprimento diferentes costumam ser usadas para descrev\u00ea-lo, e confundi-las \u00e9 a fonte mais comum de erros.<\/p>\n<p>A <strong>altura<\/strong> \\(h\\) \u00e9 a dist\u00e2ncia em linha reta, perpendicular, do centro da base at\u00e9 o v\u00e9rtice. A <strong>geratriz<\/strong> \\(l\\) \u00e9 a dist\u00e2ncia de qualquer ponto da borda da base at\u00e9 o v\u00e9rtice, medida ao longo da superf\u00edcie inclinada. A geratriz \u00e9 sempre a maior das duas (ou igual \u00e0 altura quando o raio \u00e9 zero), e elas se relacionam pelo teorema de Pit\u00e1goras: \\( l^2 = r^2 + h^2 \\). \u00c9 por isso que a calculadora precisa de apenas uma delas \u2014 a outra \u00e9 obtida automaticamente.<\/p>\n<p>S\u00e3o informados tr\u00eas valores de \u00e1rea porque respondem a quest\u00f5es pr\u00e1ticas diferentes. A <strong>\u00e1rea da base<\/strong> mostra quanto material cobre o fundo circular. A <strong>\u00e1rea lateral<\/strong> \u00e9 a \u00e1rea da superf\u00edcie curva \u2014 por exemplo, a quantidade de tecido na parede de uma tenda c\u00f4nica ou o r\u00f3tulo enrolado em um recipiente c\u00f4nico. A <strong>\u00e1rea total<\/strong> \u00e9 a soma das duas, que \u00e9 o que voc\u00ea precisa quando um cone est\u00e1 totalmente coberto ou pintado por todos os lados, como uma casquinha de sorvete com uma camada lisa de sorvete no topo.<\/p>\n<p>Interpretar o volume \u00e9 simples: \u00e9 a quantidade de espa\u00e7o que o cone ocupa. Um fato \u00fatil de lembrar \u00e9 que um cone comporta exatamente um ter\u00e7o do volume de um cilindro com o mesmo raio da base e a mesma altura \u2014 o fator \\( \\tfrac{1}{3} \\) da f\u00f3rmula.<\/p>\n<h2>Premissas, limita\u00e7\u00f5es e dicas<\/h2>\n<ul>\n<li>A calculadora assume um <strong>cone circular reto<\/strong>, com o v\u00e9rtice exatamente acima do centro da base. Cones obl\u00edquos (v\u00e9rtice inclinado) exigem f\u00f3rmulas diferentes para a geratriz e n\u00e3o s\u00e3o contemplados.<\/li>\n<li>Se voc\u00ea informar uma geratriz, ela deve ser <strong>pelo menos t\u00e3o grande quanto o raio<\/strong> (\\( l \\ge r \\)). Uma geratriz menor que o raio n\u00e3o descreve nenhum cone real, e a calculadora exibir\u00e1 um erro.<\/li>\n<li>As unidades importam: o volume \u00e9 dado em unidades c\u00fabicas (cm\u00b3, in\u00b3, \u2026) e as \u00e1reas em unidades quadradas (cm\u00b2, in\u00b2, \u2026), sempre na mesma unidade que voc\u00ea escolheu para o raio. Se a altura usar uma unidade diferente, ela \u00e9 convertida primeiro \u2014 voc\u00ea pode conferir isso nas etapas do c\u00e1lculo.<\/li>\n<li>Todos os valores informados devem ser positivos. Raio ou altura igual a zero achataria o cone em um disco ou uma linha, resultando em volume zero.<\/li>\n<li>Os resultados s\u00e3o arredondados para tr\u00eas casas decimais; \\(\\pi\\) \u00e9 considerado 3,14159, o que \u00e9 suficientemente preciso para praticamente todos os usos pr\u00e1ticos.<\/li>\n<\/ul>\n<p>Uma verifica\u00e7\u00e3o r\u00e1pida ao fazer contas \u00e0 m\u00e3o: para um raio fixo, a \u00e1rea lateral \\( A_L = \\pi r l \\) cresce na propor\u00e7\u00e3o direta da geratriz \u2014 um exemplo de <a href=\"https:\/\/wpcalc.com\/pt\/matematica\/variacao-direta\/\">varia\u00e7\u00e3o direta<\/a>. E as ra\u00edzes quadradas nas rela\u00e7\u00f5es entre altura e geratriz s\u00e3o apenas um caso especial do c\u00e1lculo de <a href=\"https:\/\/wpcalc.com\/pt\/matematica\/raiz-enesima\/\">raiz en\u00e9sima<\/a> com \\(n = 2\\).<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Calcule o volume, a geratriz, a \u00e1rea lateral, a \u00e1rea da base e a \u00e1rea total de um cone circular reto. Informe o raio e a altura ou a geratriz.<\/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-2079","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\/2079","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=2079"}],"version-history":[{"count":1,"href":"https:\/\/wpcalc.com\/pt\/wp-json\/wp\/v2\/posts\/2079\/revisions"}],"predecessor-version":[{"id":2468,"href":"https:\/\/wpcalc.com\/pt\/wp-json\/wp\/v2\/posts\/2079\/revisions\/2468"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/pt\/wp-json\/wp\/v2\/media?parent=2079"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/pt\/wp-json\/wp\/v2\/categories?post=2079"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/pt\/wp-json\/wp\/v2\/tags?post=2079"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}