WorldCalcs

Cylinder Calculator

Enter the radius and height to find a cylinder's volume and total surface area.

Reviewed by the WorldCalcs team · Methodology · Last reviewed: June 2026

Volume

282.7433388

V = πr²h

Total surface area

245.044227

A = 2πr(r + h)

What is a cylinder calculator?

A cylinder calculator finds the volume and surface area of a cylinder, a tube or can shape with two circular ends, from its radius and height. These come up with tanks, pipes, cans, glasses and many engineering and packaging problems.

How it's calculated

For a cylinder with radius r and height h: the volume is V = πr²h (the area of the circular base times the height), and the total surface area is 2πr(r + h), which combines the two circular ends (2πr²) and the curved side (2πrh). The constant π is about 3.14159.

Example

A cylinder with a radius of 3 and a height of 10 has a volume of π × 3² × 10, about 282.743339, and a total surface area of 2 × π × 3 × (3 + 10), about 245.044227.

All calculations happen in your browser. Nothing is sent, stored, or tracked.

Results are estimates and may contain errors — for general information only, not professional advice. Always verify before relying on them. Disclaimer

How to use

Type positive values for the radius and height. The calculator returns the volume (πr²h) and total surface area (2πr(r + h)) instantly.

Values are rounded to about 6 significant digits using the standard constant π ≈ 3.14159.

Frequently asked questions

How do I find the volume of a cylinder?+

Multiply the area of the circular base (πr²) by the height: V = πr²h.

How do I find the surface area of a cylinder?+

Use 2πr(r + h), the two ends plus the curved side.

What is the curved (lateral) surface area?+

Just the side, 2πrh, without the two circular ends.

What units does the volume use?+

Cubic units of whatever you entered; surface area is in square units.

How is a cylinder related to a circle?+

Its ends are circles, so the base area uses the circle formula πr². See our Circle Calculator.

How do I find the radius from the volume?+

Rearrange V = πr²h to r = √(V ÷ (πh)). See our Square Root Calculator.

Does this work for a hollow tube?+

No, this is a solid cylinder; a hollow tube needs inner and outer radii.

What is the height of a cylinder?+

The straight distance between the two circular ends.

Related calculators