{"id":66839,"date":"2026-10-15T09:20:27","date_gmt":"2026-10-15T06:20:27","guid":{"rendered":"https:\/\/wpcalc.com\/en\/?p=66839"},"modified":"2026-10-15T09:20:27","modified_gmt":"2026-10-15T06:20:27","slug":"cone-volume-and-surface-area-calculator","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/en\/mathematics\/cone-volume-and-surface-area-calculator\/","title":{"rendered":"Cone Volume and Surface Area Calculator"},"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\">Calculate a Cone from Radius and Height or Slant Height<\/h2><\/div><div class=\"calcdash-favorite group\">\n  <button type=\"button\" class=\"favorite\" id=\"favorite\" data-favorite-id=\"66839\" data-favorite-title=\"Cone Volume and Surface Area\" data-favorite-url=\"https:\/\/wpcalc.com\/en\/mathematics\/cone-volume-and-surface-area-calculator\/\" data-favorite-excerpt=\"Calculate the volume, slant height, lateral area, base area and total surface area of a right circular cone. Enter the radius plus either the height or the slant height.\" aria-label=\"Add to Favorites\" 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\/en\/mathematics\/cone-volume-and-surface-area-calculator\/\" method=\"POST\" class=\"calculator\" id=\"calculator-66839\" data-post=\"66839\"><fieldset class=\"fieldset-input is-2\"><legend class=\"sr-only\">Input Fields<\/legend><div class=\"field has-term\" id=\"input-1\"><label for=\"field-1\">Radius (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=\"radius_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=\"unit\" aria-label=\"Unit\"><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\">Radius of the circular base.<\/small><\/div><div class=\"field\" id=\"input-2\"><label for=\"field-3\">Second dimension<\/label><div class=\"grid grid-cols-1\"><select id=\"field-3\" name=\"second_dimension\"><option value=\"height\" selected>Height (h)<\/option><option value=\"slant\">Slant height (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\">Height (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=\"height_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=\"unit\" aria-label=\"Unit\"><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\">Perpendicular distance from the base to the apex.<\/small><\/div><div class=\"field has-term\" id=\"input-4\" hidden><label for=\"field-6\">Slant height (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=\"slant_height_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=\"unit\" aria-label=\"Unit\"><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\">Distance from the edge of the base to the apex along the surface.<\/small><\/div><\/fieldset><div class=\"buttons\"><button type=\"submit\" data-text=\"Re-Calculate\" id=\"calculate-button\" data-post=\"66839\">Calculate<\/button><button type=\"reset\">Reset<\/button><\/div><div class=\"field is-checkbox hidden!\" id=\"field-auto-calc\"><input type=\"checkbox\" id=\"auto-calc\"><label for=\"auto-calc\">Calculate automatically<\/label><small>If enabled, the result will update automatically when you change any value.<\/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> Your 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=\"Copy Result\" aria-label=\"Copy Result\"><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>Height (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=\"Copy Result\" aria-label=\"Copy Result\"><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>Slant height<\/span><span class=\"result-term\">l<\/span><\/span><span class=\"field-value\" id=\"result-3\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copy Result\" aria-label=\"Copy Result\"><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>Lateral (side) surface area<\/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=\"Copy Result\" aria-label=\"Copy Result\"><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>Base area<\/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=\"Copy Result\" aria-label=\"Copy Result\"><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>Total surface area<\/span><span class=\"result-term\">A<\/span><\/span><span class=\"field-value\" id=\"result-6\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copy Result\" aria-label=\"Copy Result\"><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>Calculation steps<\/span><\/span><span class=\"field-value\" id=\"result-7\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copy Result\" aria-label=\"Copy Result\"><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\">Copy link to this calculation<\/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>Leave a Comment<\/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=\"66839\" aria-live=\"polite\" aria-labelledby=\"calc-reactions-title\"><p id=\"calc-reactions-title\" class=\"text-sm text-gray-500 text-center mb-2\">How did this result make you feel?<\/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\">Like <\/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\">Helpful <\/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\">Confused <\/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\">Disappointed <\/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\">Inaccurate <\/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>Cone Volume and Surface Area Formula<\/h2><\/div>\r\n\t<figure class=\"not-prose formula\">\r\n\t\t<figcaption class=\"formula-title\">Formula<\/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>Where:<\/strong><\/p>\n<ul>\n<li>\\(r\\) \u2014 radius of the circular base<\/li>\n<li>\\(h\\) \u2014 vertical (perpendicular) height from the base to the apex<\/li>\n<li>\\(l\\) \u2014 slant height, measured along the surface from the base edge to the apex<\/li>\n<li>\\(V\\) \u2014 volume<\/li>\n<li>\\(A_L\\) \u2014 lateral (side) surface area<\/li>\n<li>\\(A_B\\) \u2014 base area<\/li>\n<li>\\(A\\) \u2014 total surface area (side + base)<\/li>\n<\/ul>\n<p>These formulas describe a right circular cone, whose axis is perpendicular to its base. The height and the slant height are linked by the Pythagorean theorem, so knowing either one is enough to find the other.<\/p>\n<p>\r\n<\/section>\n<style id=\"wpcoderpro-inline-459\">.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>Cone Volume and Surface Area \u2013 Calculation Example<\/h2><\/div>\r\n\r\n<\/p>\n<p><strong>Example:<\/strong> a cone with a base radius of 3 cm and a vertical height of 4 cm (the calculator's default values).<\/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>Result:<\/strong> the cone has a volume of about 37.699 cm\u00b3, a slant height of 5 cm, a lateral area of 47.124 cm\u00b2, a base area of 28.274 cm\u00b2 and a total surface area of 75.398 cm\u00b2.<\/p>\n<p>\n\r\n<\/section>\n<h2>How to Use the Calculator<\/h2>\n<ol>\n<li>Enter the <strong>Radius (r)<\/strong> of the circular base and pick its unit (m, cm, mm, ft or in).<\/li>\n<li>Choose the <strong>Second dimension<\/strong>: select <em>Height (h)<\/em> if you know the vertical height, or <em>Slant height (l)<\/em> if you know the distance along the side.<\/li>\n<li>Type the value in the field that appears \u2014 <strong>Height (h)<\/strong> or <strong>Slant height (l)<\/strong> \u2014 and select its unit. The two units do not have to match; the calculator converts them automatically.<\/li>\n<li>Read the results: <strong>Volume<\/strong>, <strong>Height (h)<\/strong>, <strong>Slant height<\/strong>, <strong>Lateral (side) surface area<\/strong>, <strong>Base area<\/strong> and <strong>Total surface area<\/strong>, all expressed in the radius unit, plus a step-by-step calculation trail.<\/li>\n<\/ol>\n<h2>What Is a Right Circular Cone?<\/h2>\n<p>A right circular cone is a three-dimensional solid with a circular base and a single apex (tip) that sits directly above the centre of the base. Two different length measurements are commonly used to describe it, and mixing them up is the most frequent source of errors.<\/p>\n<p>The <strong>height<\/strong> \\(h\\) is the straight, perpendicular distance from the centre of the base up to the apex. The <strong>slant height<\/strong> \\(l\\) is the distance from any point on the edge of the base to the apex measured along the sloped surface. The slant height is always the longer of the two (or equal to the height when the radius is zero), and they are related by the Pythagorean theorem: \\( l^2 = r^2 + h^2 \\). This is why the calculator only needs one of them \u2014 the other is derived automatically.<\/p>\n<p>Three area values are reported because they answer different practical questions. The <strong>base area<\/strong> tells you how much material the circular bottom covers. The <strong>lateral surface area<\/strong> is the area of the curved side \u2014 for example, the amount of fabric in a conical tent wall or the label wrapped around a conical container. The <strong>total surface area<\/strong> is their sum, which is what you need when a cone is fully covered or painted on all sides, such as an ice-cream cone with a flat top of ice cream.<\/p>\n<p>Interpreting the volume is straightforward: it is the amount of space the cone encloses. A useful fact to remember is that a cone holds exactly one third of the volume of a cylinder with the same base radius and height \u2014 the factor \\( \\tfrac{1}{3} \\) in the formula.<\/p>\n<h2>Assumptions, Limitations and Tips<\/h2>\n<ul>\n<li>The calculator assumes a <strong>right circular cone<\/strong> with the apex directly above the centre of the base. Oblique cones (tilted apex) need different formulas for the slant height and are not covered.<\/li>\n<li>If you enter a slant height, it must be <strong>at least as large as the radius<\/strong> (\\( l \\ge r \\)). A slant height shorter than the radius describes no real cone, and the calculator will show an error.<\/li>\n<li>Units matter: volume is reported in cubic units (cm\u00b3, in\u00b3, \u2026) and areas in square units (cm\u00b2, in\u00b2, \u2026), always matching the unit you chose for the radius. If the height uses a different unit, it is converted first \u2014 you can see this in the calculation steps.<\/li>\n<li>All inputs must be positive. Zero radius or zero height would flatten the cone into a disk or a line, giving a volume of zero.<\/li>\n<li>Results are rounded to three decimal places; \\(\\pi\\) is taken as 3.14159, which is accurate enough for virtually all practical purposes.<\/li>\n<\/ul>\n<p>A quick sanity check when working by hand: for a fixed radius, the lateral area \\( A_L = \\pi r l \\) grows in direct proportion to the slant height \u2014 an example of <a href=\"https:\/\/wpcalc.com\/en\/mathematics\/direct-variation\/\">direct variation<\/a>. And the square roots in the height\u2013slant height relations are just a special case of taking an <a href=\"https:\/\/wpcalc.com\/en\/mathematics\/nth-root\/\">nth root<\/a> with \\(n = 2\\).<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Calculate the volume, slant height, lateral area, base area and total surface area of a right circular cone. Enter the radius plus either the height or the slant height.<\/p>\n","protected":false},"author":3168,"featured_media":0,"comment_status":"open","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[7],"tags":[23],"class_list":["post-66839","post","type-post","status-publish","format-standard","hentry","category-mathematics","tag-geometry"],"acf":[],"_links":{"self":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/66839","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/users\/3168"}],"replies":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/comments?post=66839"}],"version-history":[{"count":1,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/66839\/revisions"}],"predecessor-version":[{"id":67124,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/66839\/revisions\/67124"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/media?parent=66839"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/categories?post=66839"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/tags?post=66839"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}