Cylinder Calculator
Volume, surface area, and the label that peels off flat.
Work out Cylinder. Volume, surface area, and the label that peels off flat. Every related measurement, not only the one asked for.
Volume (units³)
282.7433
Surface area 245.0442 units²
Volume is the base area times the height, exactly as for any prism. The side unrolls into a rectangle as tall as the cylinder and as wide as the circumference, which is why the lateral area is 2πrh — 188.4956 units² here — and why a label peels off flat.
How the Cylinder Calculator works
Volume is the base area times the height, exactly as for any prism. The curved side unrolls into a rectangle as tall as the cylinder and as wide as its circumference, which is why the lateral area is 2πrh — and why a tin's label comes off flat.
Also known as: volume of a cylinder · cylinder surface area · tank volume calculator · cylinder volume formula
Frequently asked questions
How do I find the volume of a cylinder?
Multiply the base area, πr², by the height. A radius of 3 and a height of 10 give 90π, or 282.74 cubic units.
What is the surface area of a cylinder?
The curved side plus both circular ends: 2πrh + 2πr². For a radius of 3 and height of 10 that is 245.04 square units.
How many litres does my tank hold?
If you measure in centimetres, divide the cubic centimetres by 1,000. This page shows that conversion directly.
Why is the side area 2πrh?
Because the curved surface unrolls into a rectangle. Its height is the cylinder's height and its width is the circumference, 2πr.
Put this calculator on your own site
Free to use, on any site, commercial or not. Paste this where you want it to appear. It is a plain iframe, so it works in WordPress, Squarespace, Wix, Webflow, Ghost and anything else that accepts HTML.
<iframe src="https://www.thecalclibrary.com/embed/cylinder-calculator" width="100%" height="640" style="border:1px solid #e2e8f0;border-radius:12px" loading="lazy" title="Cylinder Calculator"></iframe>The only condition is that the credit line stays visible. It sits inside the frame, so you do not have to do anything to keep it.
Related calculators
Cone Calculator
Volume by vertical height, surface area by slant height.
OpenVolume Calculator
Six shapes, with the litre conversion built in.
OpenSphere Calculator
Volume and surface area, and why one is the derivative of the other.
Open