Cylinder Calculator

Volume, surface area, radius and height. Enter the values you know and the rest are worked out, with the steps shown.

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About the cylinder calculator

A cylinder is a circle extruded along a straight axis. Its volume is the base area times the height, πr²h. Two values fix any cylinder. The calculator also works backwards from volume and total surface area, a classic can-design problem that has no simple formula.

Formulas

VolumeV = πr²h
Lateral areaL = 2πrh
Total surfaceS = 2πr(r + h)

Frequently asked questions

How do I calculate the volume of a cylinder?

V = πr²h. A can with radius 3 cm and height 8 cm holds 72π ≈ 226.2 cm³.

How do I find the height from the volume?

h = V/(πr²).

How much liquid does a cylindrical tank hold?

Compute V in your length unit cubed; the results panel converts it to litres and gallons.