Volume Calculator

Volume Calculator

Calculate the volume of common 3D shapes including boxes, cylinders, spheres and cones.

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What Is the Volume Calculator?

A volume calculator computes the three-dimensional space occupied by a geometric shape. It is used in construction, engineering, cooking, shipping and many other fields where you need to know the capacity or size of a three-dimensional object. This calculator supports rectangular boxes, cylinders, spheres and cones.

How to Use the Volume Calculator

  1. Select the shape.
  2. Enter the required dimensions.
  3. Select the unit of measurement.
  4. Click Calculate.

Formula

Box: V = Length × Width × Height Cylinder: V = π × Radius² × Height Sphere: V = (4/3) × π × Radius³ Cone: V = (1/3) × π × Radius² × Height

Worked Example

Box 4m × 3m × 2m = 24 m³
Cylinder radius 2m, height 5m = π × 4 × 5 = 62.83 m³
Sphere radius 3m = (4/3) × π × 27 = 113.1 m³

Understanding Your Result

Volume is a three-dimensional measurement. For practical applications like concrete, water tanks or shipping containers, ensure you are using consistent units throughout. 1 m³ = 1,000 litres, which is a useful conversion for liquid volumes.

Common Mistakes

  • Using diameter instead of radius for cylinders, spheres and cones.
  • Mixing units — all dimensions must be in the same unit.

Frequently Asked Questions

How many litres are in a cubic metre?

1 m³ = 1,000 litres. So a tank measuring 1m × 1m × 1m holds 1,000 litres of water.

How do I calculate the volume of a swimming pool?

For a rectangular pool, use the box formula: length × width × average depth. For irregular shapes, divide into sections and add the volumes.

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