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?

A cylinder is a solid with two identical circular ends joined by a straight side, like a can or a pipe. It is described by the radius of its circular end and its height. From these you can find its volume (how much it holds) and its surface area (the total area of its outside).

The cylinder formulas

With radius r and height h: the volume is V = πr²h — the area of the circular base times the height. The total surface area is the two circular ends plus the curved side: A = 2πr² + 2πrh, which is the same as 2πr(r + h).

Example

A cylinder with radius 3 and height 10 has a volume of π × 3² × 10 ≈ 282.74, and a total surface area of 2π × 3 × (3 + 10) ≈ 245.04.

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 you find the volume of a cylinder?+

Multiply the area of the circular base by the height: V = πr²h. With radius 3 and height 10 the volume is about 282.74.

What is the surface area of a cylinder?+

It is the two circular ends plus the curved side: A = 2πr² + 2πrh = 2πr(r + h). For radius 3 and height 10 it is about 245.04.

What is the curved (lateral) surface area?+

Just the side, without the ends: 2πrh. It is what you would get if you unrolled the side into a rectangle.

Should I use the radius or the diameter?+

Use the radius — half the diameter — in the formulas. If you only have the diameter, divide it by two first.

What units does the volume use?+

The volume is in cubic units of whatever you enter (for example cm³ if the radius and height are in cm).