Volume Calculator
Find the volume of a box, cylinder, sphere or cone.
Round shapes take the radius (half the diameter). Keep all dimensions in the same unit.
Four everyday solids
Most containers and objects reduce to a box, cylinder, sphere or cone. Each has a tidy formula, and all share the same idea: volume grows with the cube of length, so small size changes have big effects.
| Box | l × w × h |
|---|---|
| Cylinder | π r² h |
| Sphere | 4⁄3 π r³ |
| Cone | 1⁄3 π r² h |
Work in centimetres and the calculator also reports litres and US gallons, since one litre is exactly 1,000 cubic centimetres.
A box 10 × 10 × 10 cm holds 1,000 cm³ — exactly 1 litre, or about 0.26 US gallons. A cylinder of the same height and 10 cm radius holds π × 10² × 10 ≈ 3,142 cm³.
Volume in real life
From sizing a fish tank or planter to estimating concrete for a footing or water in a pipe, volume is the quiet workhorse of practical maths. The cube relationship is the thing to remember: doubling a sphere’s radius multiplies its volume eightfold.
Worth remembering
- Cone = ⅓ cylinder. Same base and height, a third of the volume.
- Use the radius. Halve the diameter for round shapes.
- 1 litre = 1,000 cm³. The easy bridge to capacity.