{"id":59973,"date":"2016-12-30T10:51:10","date_gmt":"2016-12-30T08:51:10","guid":{"rendered":"https:\/\/wpcalc.com\/?p=59973"},"modified":"2026-09-30T18:08:12","modified_gmt":"2026-09-30T15:08:12","slug":"cubic-yards-of-circular-stepping-stones","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/en\/engineering\/cubic-yards-of-circular-stepping-stones\/","title":{"rendered":"Circular Stepping Stone 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\">Calculate Volume of Circular Stepping Stones<\/h2><\/div><div class=\"calcdash-favorite group\">\n  <button type=\"button\" class=\"favorite\" id=\"favorite\" data-favorite-id=\"59973\" data-favorite-title=\"Cubic Yards of Circular Stepping Stones\" data-favorite-url=\"https:\/\/wpcalc.com\/en\/engineering\/cubic-yards-of-circular-stepping-stones\/\" data-favorite-excerpt=\"Calculate the concrete volume of circular stepping stones in cubic yards. Enter the diameter, thickness and number of stones to find how much concrete you need for one stone or the whole batch.\" aria-label=\"Add to Favorites\" data-favorite-icon=\"icon icon-civil\">\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\/engineering\/cubic-yards-of-circular-stepping-stones\/\" method=\"POST\" class=\"calculator\" id=\"calculator-59973\" data-post=\"59973\"><fieldset class=\"fieldset-input\"><legend class=\"sr-only\">Input Fields<\/legend><div class=\"field has-term\" id=\"input-1\"><label for=\"field-1\">Diameter<\/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=\"number\" name=\"diameter\" id=\"field-1\" aria-describedby=\"calc-unit-1 calc-info-1\" step=\"0.01\" value=\"12\"\/><div class=\"unit\" id=\"calc-unit-1\">in<\/div><small id=\"calc-info-1\">Enter diameter in inches<\/small><\/div><div class=\"field has-term\" id=\"input-2\"><label for=\"field-2\">Depth<\/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=\"number\" name=\"depth\" id=\"field-2\" aria-describedby=\"calc-unit-2 calc-info-2\" step=\"0.01\" value=\"2\"\/><div class=\"unit\" id=\"calc-unit-2\">in<\/div><small id=\"calc-info-2\">Enter depth in inches<\/small><\/div><div class=\"field has-term\" id=\"input-3\"><label for=\"field-3\">Number of stepping stones<\/label><div class=\"term\">n<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"number\" name=\"number_of_stepping_stones\" id=\"field-3\" step=\"1\" value=\"10\"\/><\/div><\/fieldset><div class=\"buttons\"><button type=\"submit\" data-text=\"Re-Calculate\" id=\"calculate-button\" data-post=\"59973\">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 Results<\/h3><div class=\"result-box\"><div class=\"field-result\" id=\"output-1\"><span class=\"field-title\"><span>Single stepping stone<\/span><span class=\"result-term\">V\u2081<\/span><\/span><span class=\"field-value\" id=\"result-1\" data-unit=\"yd\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-2\"><span class=\"field-title\"><span>All stepping stones<\/span><span class=\"result-term\">V\u2099<\/span><\/span><span class=\"field-value\" id=\"result-2\" data-unit=\"yd\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><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=\"59973\" 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>Circular Stepping Stone 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\\[ V_1 = \\frac{ \\pi \\cdot r^2 \\cdot h }{46656}, \\qquad r = \\frac{d}{2}, \\qquad V_n = V_1 \\cdot n \\]\n<\/div>\r\n\t<\/figure>\r\n\t<\/p>\n<p><strong>Where:<\/strong><\/p>\n<ul>\n<li>\\(d\\) \u2014 diameter of the stepping stone (inches)<\/li>\n<li>\\(r\\) \u2014 radius of the stepping stone (inches)<\/li>\n<li>\\(h\\) \u2014 depth, i.e. thickness of the stone (inches)<\/li>\n<li>\\(n\\) \u2014 number of stepping stones<\/li>\n<li>\\(V_1\\) \u2014 volume of a single stone (cubic yards)<\/li>\n<li>\\(V_n\\) \u2014 total volume of all stones (cubic yards)<\/li>\n<\/ul>\n<p>A circular stepping stone is a short cylinder, so its volume is \\( \\pi r^2 h \\) in cubic inches. Since one yard equals 36 inches, one cubic yard equals \\( 36^3 = 46{,}656 \\) cubic inches, which is why the formula divides by 46,656 to convert the result to cubic yards.<\/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>Circular Stepping Stone Volume \u2013 Calculation Example<\/h2><\/div>\r\n\r\n<\/p>\n<p><strong>Example:<\/strong> you want to cast 10 round stepping stones, each 12 inches in diameter and 2 inches thick.<\/p>\n<p>\\[ r = \\frac{12}{2} = 6 \\text{ in} \\]<\/p>\n<p>\\[ V_1 = \\frac{ \\pi \\cdot 6^2 \\cdot 2 }{46656} = \\frac{226.19}{46656} \\approx 0.00485 \\text{ yd}^3 \\]<\/p>\n<p>\\[ V_n = 0.00485 \\cdot 10 \\approx 0.04848 \\text{ yd}^3 \\]<\/p>\n<p><strong>Result:<\/strong> one stone needs about 0.00485 yd\u00b3 of concrete, and all 10 stones together need about 0.04848 yd\u00b3 (roughly 1.3 cubic feet, or around two 80 lb bags of concrete mix).<\/p>\n<p>\n\r\n<\/section>\n<h2>How to Use the Calculator<\/h2>\n<ol>\n<li>Enter the <strong>Diameter<\/strong> of one stepping stone in inches (the default is 12 in, a common size).<\/li>\n<li>Enter the <strong>Depth<\/strong> \u2014 the thickness of the stone \u2014 in inches. Typical stepping stones are 1.5 to 2 inches thick.<\/li>\n<li>Enter the <strong>Number of stepping stones<\/strong> you plan to cast.<\/li>\n<li>Read the results: the volume for a <strong>Single stepping stone<\/strong> and the total volume for <strong>All stepping stones<\/strong>, both in cubic yards.<\/li>\n<\/ol>\n<h2>What the Result Means<\/h2>\n<p>Each result line tells you how much wet concrete the stones will displace when cast. The single-stone value is useful when you buy bagged mix, because you can check whether one 80 lb bag (about 0.02 yd\u00b3 of mixed concrete, or 0.6 ft\u00b3) covers several molds. The total value tells you the overall batch size, which matters when ordering ready-mix concrete by the cubic yard or when mixing by hand.<\/p>\n<p>Concrete is usually ordered or mixed with a small surplus to compensate for spillage, uneven mold bases and settling. For a small project like this, adding 5\u201310% to the total volume is a sensible safety margin. Because the volumes involved are small, it is often easier to think in cubic feet: multiply the cubic-yard result by 27 (1 yd\u00b3 = 27 ft\u00b3).<\/p>\n<p>The calculation itself is exact for a perfect cylinder. If your stones have beveled edges, decorative impressions or a slightly domed face, the actual volume will be a little smaller than the calculator shows \u2014 the result is a safe, slightly conservative estimate.<\/p>\n<h2>Assumptions and Practical Tips<\/h2>\n<ul>\n<li>The stone is treated as a solid cylinder with a flat top and bottom; decorative relief or rounded edges reduce the true volume slightly.<\/li>\n<li>All stones are assumed identical in diameter and thickness. For mixed sizes, run the calculator once per size and add the totals.<\/li>\n<li>Measure the inner diameter of the mold, not the outer diameter of a form wall, especially if you use plastic or rubber molds with thick rims.<\/li>\n<li>A 2-inch thickness is the usual minimum for ground-level stepping stones; thinner stones are more likely to crack under foot traffic or frost.<\/li>\n<li>For plain stones, a standard mix works well; see the <a href=\"https:\/\/wpcalc.com\/en\/engineering\/concrete-mix-ratio\/\">concrete mix ratio<\/a> guide and the <a href=\"https:\/\/wpcalc.com\/en\/engineering\/concrete-ingredients\/\">concrete ingredients calculator<\/a> to plan the cement, sand and gravel.<\/li>\n<li>If your design uses square or triangular pavers instead, try the <a href=\"https:\/\/wpcalc.com\/en\/engineering\/cubic-yards-of-rectangular-stepping-stones\/\">cubic yards of rectangular stepping stones<\/a> or <a href=\"https:\/\/wpcalc.com\/en\/engineering\/cubic-yards-of-triangular-stepping-stones\/\">cubic yards of triangular stepping stones<\/a> calculators. For larger pours such as a patio base under the stones, the <a href=\"https:\/\/wpcalc.com\/en\/engineering\/concrete-yardage\/\">concrete yardage calculator<\/a> covers slabs and footings.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Calculate the concrete volume of circular stepping stones in cubic yards. Enter the diameter, thickness and number of stones to find how much concrete you need for one stone or the whole batch.<\/p>\n","protected":false},"author":70,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[4],"tags":[19],"class_list":["post-59973","post","type-post","status-publish","format-standard","hentry","category-engineering","tag-civil"],"acf":[],"_links":{"self":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/59973","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\/70"}],"replies":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/comments?post=59973"}],"version-history":[{"count":2,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/59973\/revisions"}],"predecessor-version":[{"id":65952,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/59973\/revisions\/65952"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/media?parent=59973"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/categories?post=59973"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/tags?post=59973"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}