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Volume Calculator

Calculate the volume of a sphere, cylinder or cube from its dimensions.

Details

Your Results

What Volume Calculator does

Volume follows directly from a shape's dimensions, and the three shapes here cover most everyday cases: a ball, a tube or tank, and a box.

Because volume scales with the cube of a linear dimension, doubling a radius multiplies the volume by eight — which is why small measurement errors matter more than they look.

  • Sphere from its radius
  • Cylinder from radius and height
  • Cube from its edge length

How to use Volume Calculator

  1. 1

    Choose the shape

    Sphere, cylinder or cube.

  2. 2

    Enter the dimensions

    Use one consistent unit. The height field applies only to the cylinder.

  3. 3

    Read the volume

    The result is in cubic units of whatever you entered.

Example

The formulas used

Input

Sphere r = 5
Cylinder r = 5, h = 10
Cube edge = 5

Output

Sphere:   (4/3) × π × 5³   = 523.60
Cylinder: π × 5² × 10       = 785.40
Cube:     5³                = 125.00

Units follow your input. Enter centimetres and the results are cubic centimetres, of which 1000 make one litre.

When to use it

Working out a tank's capacity

Calculate a cylinder's volume from its internal radius and height, then convert cubic centimetres to litres.

Estimating material

Find how much filler, soil or liquid a shape will hold before buying it.

Checking homework

Confirm a geometry answer where the formula is known and the arithmetic is the risk.

Limits and known behaviour

  • Three shapes only. Cones, pyramids, prisms and irregular solids are not included.
  • The calculation is unitless: enter centimetres and the answer is in cubic centimetres.
  • Wall thickness is not considered, so a cylinder's volume is its external volume rather than its capacity.
  • To convert the result to litres or gallons, use the volume converter.

Privacy and data handling

Runs entirely in your browser

  • The calculation runs in this page. Nothing you enter is transmitted or stored.
  • The tool works offline once the page has loaded.

Site-wide data handling, including analytics and advertising, is described in the privacy policy.

Frequently asked questions

How do I get litres from this?

Work in centimetres, then convert: 1000 cubic centimetres is one litre. The volume converter will do it.

Why did doubling my radius increase the volume so much?

Volume grows with the cube of the radius, so doubling it multiplies the volume by eight. It is also why a measurement error in the radius has a magnified effect on the answer.