Cylinder Volume Calculator

Work out cylinder volume instantly with clear inputs, formula shown and shareable results.

About Cylinder Volume Calculator

A cylinder is a prism with a circular cross-section, so its volume is base area times height: V = πr²h. The curved surface unrolls into a rectangle of width 2πr and height h.

Formulas

Volume

V = πr²h

Lateral area

A = 2πrh

Worked example

With the default values below, Cylinder Volume Calculator returns Volume of 282.7433. Change any input above and every figure here is recalculated in your browser.

Inputs used

Base radiusminimum 0: 3
Heightminimum 0: 10

Results

Volume: 282.7433
Base area: 28.2743
Curved (lateral) area: 188.4956
Volume in litres if inputs are cm: 0.2827

Step by step

1Values used
2Volume
3Lateral area
4Volume= 282.7433
5Base area= 28.2743
6Curved (lateral) area= 188.4956
7Volume in litres if inputs are cm= 0.2827

Assumptions and limits

The result is derived only from the 2 inputs listed above. Anything not among them is not part of the calculation.
In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
Figures are rounded for display to 4 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.

How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.

Frequently Asked Questions

Radius 3, height 10 gives what volume?

π × 9 × 10 = 90π ≈ 282.743339 cubic units.

How do I get litres?

Work in centimetres and divide the cubic-centimetre result by 1000, which is done for you above.