Which solids are supported?

Rectangular box, cube, sphere, cylinder, cone, square pyramid and ellipsoid — each using its standard volume formula.

What is the formula for the volume of a cylinder?

Volume = π × radius² × height. For example a cylinder of radius 3 and height 10 holds π × 9 × 10 ≈ 282.7 cubic units.

How do I find the volume of a sphere?

Volume = (4/3) × π × radius³. A sphere of radius 5 has a volume of (4/3) × π × 125 ≈ 523.6 cubic units.

Why is a cone exactly one third of a cylinder?

A cone with the same base radius and height as a cylinder has volume (1/3) × π × r² × h — exactly a third — because it tapers linearly to a point. The same one-third relationship holds for a pyramid versus its prism.

What units does the result use?

The calculator is unit-agnostic — enter lengths in any unit and the volume comes out in those units cubed (for example centimetres in gives centimetres³ out).

How do I convert the volume to litres or gallons?

Work in centimetres so the result is cm³ (millilitres); 1000 cm³ = 1 litre, and 1 litre ≈ 0.264 US gallons. For cubic metres, 1 m³ = 1000 litres.

Is anything uploaded?

No — all calculations happen entirely in your browser and nothing is sent to a server.

Volume Calculator — Gera Tools

This volume calculator computes the capacity of seven common 3D solids — a box, cube, sphere, cylinder, cone, square pyramid and ellipsoid. Pick a shape, type its dimensions, and the volume appears instantly using the correct geometric formula. It is handy for everything from sizing a tank or aquarium to checking homework.

How it works

Each solid uses its standard formula, with the result given in cubic units:

Solid	Formula
Box (rectangular prism)	length × width × height
Cube	side³
Sphere	(4/3) × π × radius³
Cylinder	π × radius² × height
Cone	(1/3) × π × radius² × height
Square pyramid	(1/3) × base-edge² × height
Ellipsoid	(4/3) × π × a × b × c

The calculator is unit-agnostic: enter every dimension in the same unit and the volume comes back in that unit cubed.

Example

For a cylinder with radius 3 and height 10:

V = π × 3² × 10 = π × 90 ≈ 282.74 cubic units.

If those measurements are in centimetres, that is about 282.7 cm³ (≈ 0.28 litres). Change to a cone with the same radius and height and the volume drops to a third: (1/3) × π × 9 × 10 ≈ 94.25 cubic units. Everything runs in your browser — nothing is uploaded.