{"id":67174,"date":"2026-10-20T09:51:47","date_gmt":"2026-10-20T06:51:47","guid":{"rendered":"https:\/\/wpcalc.com\/en\/?p=67174"},"modified":"2026-10-20T09:51:47","modified_gmt":"2026-10-20T06:51:47","slug":"cylinder-volume-calculator","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/en\/mathematics\/cylinder-volume-calculator\/","title":{"rendered":"Cylinder Volume 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\">Find Cylinder Volume, Dimensions, and Surface Area<\/h2><\/div><div class=\"calcdash-favorite group\">\n  <button type=\"button\" class=\"favorite\" id=\"favorite\" data-favorite-id=\"67174\" data-favorite-title=\"Cylinder Volume\" data-favorite-url=\"https:\/\/wpcalc.com\/en\/mathematics\/cylinder-volume-calculator\/\" data-favorite-excerpt=\"Calculate the volume, height, or radius of a solid or hollow cylinder. Enter its dimensions or known volume, choose a length unit, and see surface areas and volume conversions.\" 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\/cylinder-volume-calculator\/\" method=\"POST\" class=\"calculator\" id=\"calculator-67174\" data-post=\"67174\"><fieldset class=\"fieldset-input is-2\"><legend class=\"sr-only\">Input Fields<\/legend><div class=\"field\" id=\"input-1\"><label for=\"field-1\">Calculate<\/label><div class=\"grid grid-cols-1\"><select id=\"field-1\" name=\"calculate\"><option value=\"volume\" selected>Volume<\/option><option value=\"height\">Height from volume<\/option><option value=\"radius\">Radius from volume and height<\/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\">Cylinder type<\/label><div class=\"grid grid-cols-1\"><select id=\"field-2\" name=\"cylinder_type\"><option value=\"solid\" selected>Solid cylinder<\/option><option value=\"hollow\">Hollow cylinder (pipe or tube)<\/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\">Solid cylinder measurement<\/label><div class=\"grid grid-cols-1\"><select id=\"field-3\" name=\"solid_cylinder_measurement\"><option value=\"radius\" selected>Radius<\/option><option value=\"diameter\">Diameter<\/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\">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><input type=\"text\" name=\"radius_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\">Diameter (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=\"diameter_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\">Outer diameter (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=\"outer_diameter_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\">Inner diameter (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=\"inner_diameter_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\">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><input type=\"text\" name=\"height_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\">Known volume (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=\"known_volume_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\">Enter the volume in the cubic unit selected below.<\/small><\/div><div class=\"field\" id=\"input-10\"><label for=\"field-10\">Length unit<\/label><div class=\"grid grid-cols-1\"><select id=\"field-10\" name=\"length_unit\"><option value=\"mm\">Millimeters (mm)<\/option><option value=\"cm\" selected>Centimeters (cm)<\/option><option value=\"m\">Meters (m)<\/option><option value=\"in\">Inches (in)<\/option><option value=\"ft\">Feet (ft)<\/option><option value=\"yd\">Yards (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=\"Re-Calculate\" id=\"calculate-button\" data-post=\"67174\">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> Cylinder Results<\/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>Volume in liters<\/span><\/span><span class=\"field-value\" id=\"result-2\" data-unit=\"L\"><\/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>Volume in US gallons<\/span><\/span><span class=\"field-value\" id=\"result-3\" data-unit=\"US gal\"><\/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>Volume in cubic feet<\/span><\/span><span class=\"field-value\" id=\"result-4\" data-unit=\"ft\u00b3\"><\/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>Volume in cubic meters<\/span><\/span><span class=\"field-value\" id=\"result-5\" data-unit=\"m\u00b3\"><\/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>Lateral surface area<\/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=\"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-7\"><span class=\"field-title\"><span>Total surface area<\/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=\"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-8\"><span class=\"field-title\"><span>Radius (outer radius for a tube)<\/span><span class=\"result-term\">R<\/span><\/span><span class=\"field-value\" id=\"result-8\"><\/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-9\"><span class=\"field-title\"><span>Diameter (outer diameter for a tube)<\/span><span class=\"result-term\">D<\/span><\/span><span class=\"field-value\" id=\"result-9\"><\/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-10\"><span class=\"field-title\"><span>Height<\/span><span class=\"result-term\">h<\/span><\/span><span class=\"field-value\" id=\"result-10\"><\/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-11\"><span class=\"field-title\"><span>Formula with your measurements<\/span><\/span><span class=\"field-value\" id=\"result-11\"><\/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=\"67174\" 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>Cylinder Volume 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\\[\\begin{aligned}V_{\\text{solid}}&amp;=\\pi r^{2}h &amp; V_{\\text{hollow}}&amp;=\\pi(R^{2}-r^{2})h\\\\h&amp;=\\frac{V}{\\pi r^{2}}\\ \\text{(solid)} &amp; h&amp;=\\frac{V}{\\pi(R^{2}-r^{2})}\\ \\text{(hollow)}\\\\r&amp;=\\sqrt{\\frac{V}{\\pi h}}\\ \\text{(solid)} &amp; R&amp;=\\sqrt{\\frac{V}{\\pi h}+r^{2}}\\ \\text{(hollow)}\\\\A_{\\mathrm{l,solid}}&amp;=2\\pi rh &amp; A_{\\mathrm{l,hollow}}&amp;=2\\pi h(R+r)\\\\A_{\\mathrm{t,solid}}&amp;=A_{\\mathrm{l,solid}}+2\\pi r^{2} &amp; A_{\\mathrm{t,hollow}}&amp;=A_{\\mathrm{l,hollow}}+2\\pi(R^{2}-r^{2})\\end{aligned}\\]\n<\/div>\r\n\t<\/figure>\r\n\t<\/p>\n<p><strong>Where:<\/strong><\/p>\n<ul>\n<li>\\(V\\) \u2014 cylinder volume, in cubic units<\/li>\n<li>\\(r\\) \u2014 radius of a solid cylinder, or inner radius of a hollow cylinder<\/li>\n<li>\\(R\\) \u2014 outer radius of a hollow cylinder<\/li>\n<li>\\(h\\) \u2014 cylinder height<\/li>\n<li>\\(A_{\\mathrm{l}}\\) \u2014 lateral surface area, in square units<\/li>\n<li>\\(A_{\\mathrm{t}}\\) \u2014 total surface area, in square units<\/li>\n<\/ul>\n<p>Volume is the area of the circular or ring-shaped cross-section multiplied by height. For a hollow cylinder, the result is the volume of material between its inner and outer surfaces\u2014not the volume of the empty space inside.<\/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>Cylinder Volume \u2013 Calculation Example<\/h2><\/div>\r\n\r\n<\/p>\n<p><strong>Example:<\/strong> using the default settings, find the volume of a solid cylinder with a radius of 5 cm and a height of 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>The curved surface area is \\(2\\pi(5)(12)=120\\pi\\approx376.991118\\ \\mathrm{cm}^{2}\\). Including both circular ends gives a total surface area of \\(170\\pi\\approx534.070751\\ \\mathrm{cm}^{2}\\).<\/p>\n<p><strong>Result:<\/strong> the volume is approximately 942.478 cm\u00b3, or 0.942478 L.<\/p>\n<p>\n\r\n<\/section>\n<h2>How to use the calculator<\/h2>\n<ol>\n<li>Under <strong>Calculate<\/strong>, choose <strong>Volume<\/strong>, <strong>Height from volume<\/strong>, or <strong>Radius from volume and height<\/strong>. The calculator shows the fields needed for that choice.<\/li>\n<li>Choose <strong>Cylinder type<\/strong>: <strong>Solid cylinder<\/strong> for a full circular cross-section, or <strong>Hollow cylinder (pipe or tube)<\/strong> for a ring-shaped cross-section.<\/li>\n<li>For a solid cylinder when calculating volume or height, use <strong>Solid cylinder measurement<\/strong> to choose <strong>Radius<\/strong> or <strong>Diameter<\/strong>, then enter <strong>Radius (r)<\/strong> or <strong>Diameter (d)<\/strong>. For a hollow cylinder, enter <strong>Outer diameter (D)<\/strong> and <strong>Inner diameter (d)<\/strong> when those fields appear. The outer diameter must exceed the inner diameter.<\/li>\n<li>Enter <strong>Height (h)<\/strong> when calculating volume or radius. Enter <strong>Known volume (V)<\/strong> when calculating height or radius. To find a tube\u2019s outer radius, also enter its <strong>Inner diameter (d)<\/strong>.<\/li>\n<li>Choose <strong>Length unit<\/strong>. All entered lengths use that unit, while <strong>Known volume (V)<\/strong> uses the corresponding cubic unit\u2014for example, cm and cm\u00b3. Read the calculated dimension, volume, surface areas, and conversions in <strong>Cylinder Results<\/strong>.<\/li>\n<\/ol>\n<h2>What cylinder volume tells you<\/h2>\n<p>Cylinder volume measures three-dimensional space. For a solid cylinder, imagine identical circular cross-sections stacked along its height: each has area \\(\\pi r^{2}\\), so multiplying by height gives \\(\\pi r^{2}h\\). Diameter spans the full width of the circle and is twice the radius. If you measured a diameter, the calculator halves it before using the radius in the formula.<\/p>\n<p>A hollow cylinder has material around an empty center. Its cross-section is a ring, so subtract the inner circle\u2019s area from the outer circle\u2019s area before multiplying by height. This distinction matters when estimating the amount of material in a pipe or tube. If you instead need the space <em>inside<\/em> the tube, calculate \\(\\pi r^{2}h\\) using its inner radius and the relevant interior length; the displayed hollow-cylinder volume does not represent that capacity.<\/p>\n<p>You can also work backward from a known volume. Select <strong>Height from volume<\/strong> to find the height needed for a specified cross-section, or <strong>Radius from volume and height<\/strong> to find a solid cylinder\u2019s radius or a tube\u2019s <em>outer<\/em> radius. The result also includes volume in liters, US gallons, cubic feet, and cubic meters, regardless of the length unit selected. Its primary volume result remains in the cubic form of your chosen unit.<\/p>\n<h2>Surface area and measurement tips<\/h2>\n<p><strong>Lateral surface area<\/strong> is the area along the curved side. For a solid cylinder, it includes the outer curved surface only. For a hollow cylinder, it includes both the outer and inner curved surfaces. <strong>Total surface area<\/strong> adds the two circular ends of a solid cylinder or the two ring-shaped end faces of a tube. These are geometric areas; whether a physical object has exposed, covered, or joined faces may change the area you actually need. For a calculation focused on surface measurements, see the <a href=\"https:\/\/wpcalc.com\/en\/mathematics\/cylinder-surface-area-calculator\/\">Cylinder Surface Area Calculator<\/a>.<\/p>\n<p>Use positive measurements and keep every length in the same unit. For example, convert millimeters to centimeters before entering dimensions alongside a height in centimeters. Measurements should describe a straight cylinder with constant circular cross-sections; a tapered container is better modeled with the <a href=\"https:\/\/wpcalc.com\/en\/mathematics\/cone-volume-and-surface-area-calculator\/\">Cone Volume and Surface Area Calculator<\/a>. For a spherical shape, use the <a href=\"https:\/\/wpcalc.com\/en\/mathematics\/sphere-volume-and-surface-area-calculator\/\">Sphere Volume and Surface Area Calculator<\/a> instead.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Calculate the volume, height, or radius of a solid or hollow cylinder. Enter its dimensions or known volume, choose a length unit, and see surface areas and volume conversions.<\/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-67174","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\/67174","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=67174"}],"version-history":[{"count":1,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/67174\/revisions"}],"predecessor-version":[{"id":67199,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/67174\/revisions\/67199"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/media?parent=67174"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/categories?post=67174"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/tags?post=67174"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}