How to use this Cylinder Total Surface Area Calculator 🤔
Enter ✎ value for radius (r).
Enter ✎ value for height (h).
As soon as you enter the required input value(s), the Cylinder Total Surface Area is calculated immediately, and displaed in the output section (present under input section).
Formula
To calculate the cylinder total surface area, you can use the following formula.
\(A = \) \( 2 π r h + 2 π r ^{2} \)
where
Calculation
Once you enter the input values in the calculator, the output parameters are calculated.
Examples
The following examples cover how to calcualte the Total Surface Area when radius, and height are given.
1. What is the Total Surface Area of Cylinder whose radius is 20 units, and height is 10 units?
Answer
Given:
radius, r = 20 units
height, h = 10 units
The formula to find the Total Surface Area of a Cylinder is:
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"r": 20,
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"type": "Calculate",
"title": "Cylinder Total Surface Area",
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"formula_mathjax": "\\( 2 π r h + 2 π r ^{2} \\)",
"formula_mathjax_sub": "\\( ( 2 \\times 3.1415 \\times r \\times h ) + ( 2 \\times 3.1415 \\times r ^{2} )\\)",
"formula": "2 * Math.PI * r * h + 2 * Math.PI * r * r ",
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"description": "The Cylinder Total Surface Area calculator calculates the total surface area (curved + two bases) of a cylinder by taking its radius and height as inputs.",
"explanation": "The Total Surface Area of a Cylinder is the sum of curved surface area of cylinder and the area of two circular faces.",
"examples_data": "<h2>Examples</h2><p>The following examples cover how to calcualte the Total Surface Area when radius, and height are given.</p><div class=\"example\"><h3 class=\"question\"><span class=\"example_n\">1.</span> What is the Total Surface Area of Cylinder whose radius is 20 units, and height is 10 units?</h3><h4 class=\"answer\">Answer</h4><p>Given:</p><ul><li>radius, r = 20 units<li>height, h = 10 units</ul><p>The formula to find the Total Surface Area of a Cylinder is:</p><p class=\"tabspace\">A = \\( 2 π r h + 2 π r ^{2} \\)</p><p>Substitute given values in the above formula.</p><p class=\"tabspace\">A = \\( ( 2 \\times 3.1415 \\times20\\times10 ) + ( 2 \\times 3.1415 \\times20 ^{2} )\\)</p><p class=\"tabspace\">A = 3769.91 square units</p><p class=\"tabspace answer\">∴ Total Surface Area, A = 3769.91 square units</p></div><div class=\"example\"><h3 class=\"question\"><span class=\"example_n\">2.</span> What is the Total Surface Area of Cylinder whose radius is 1 units, and height is 0.5 units?</h3><h4 class=\"answer\">Answer</h4><p>Given:</p><ul><li>radius, r = 1 units<li>height, h = 0.5 units</ul><p>The formula to find the Total Surface Area of a Cylinder is:</p><p class=\"tabspace\">A = \\( 2 π r h + 2 π r ^{2} \\)</p><p>Substitute given values in the above formula.</p><p class=\"tabspace\">A = \\( ( 2 \\times 3.1415 \\times1\\times0.5 ) + ( 2 \\times 3.1415 \\times1 ^{2} )\\)</p><p class=\"tabspace\">A = 9.42 square units</p><p class=\"tabspace answer\">∴ Total Surface Area, A = 9.42 square units</p></div>",
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