Volume Calculator
Pick a 3D shape, type in its dimensions and this calculator works out the volume for you, along with the surface area where there is a standard formula. Everything updates as you type.
How to use the volume calculator
- Choose the shape you want to measure, such as a cube, sphere, cylinder or cone.
- Enter the dimensions the shape needs, like the radius and height, in any unit you like.
- Read the volume and, where available, the surface area from the result cards.
Examples
Cylinder
radius = 2, height = 5
volume = 62.83 (20 x pi)
Cube
side = 3
volume = 27, surface area = 54
Sphere
radius = 3
volume = 113.10 (36 x pi)
Frequently asked questions
What are the volume formulas for common shapes?
Cube = side cubed. Box = length x width x height. Sphere = 4/3 x pi x radius cubed. Cylinder = pi x radius squared x height. Cone = 1/3 x pi x radius squared x height. Pyramid = 1/3 x base area x height.
What units does the volume come out in?
Whatever unit you enter. If your dimensions are in centimetres the volume is in cubic centimetres, and if they are in inches the volume is in cubic inches. The calculator does not assume a unit, so keep them consistent.
How is the volume of a cone related to a cylinder?
A cone is exactly one third of a cylinder with the same radius and height. So if you know the cylinder volume, divide by three to get the cone, and multiply the cone by three to get the cylinder.
How do you find the volume of a capsule?
A capsule is a cylinder with a hemisphere on each end. Add the cylinder body, pi x radius squared x height, to one full sphere of the same radius, 4/3 x pi x radius cubed. The height here is the straight side, not counting the rounded caps.
Why is there no surface area for a pyramid?
The surface area of a pyramid depends on the slant heights of its triangular faces, which the base area and height alone do not pin down. The calculator shows the pyramid volume but leaves surface area blank to avoid a wrong number.
Is my data sent anywhere?
No. Every calculation runs in your browser, so the dimensions you type are never uploaded or stored.
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