Volume Calculator
Volume and surface area of cubes, boxes, cylinders, spheres, cones, pyramids and prisms, in litres, gallons and more.
Your shape
Filled in with example values. Replace them with your own.
V = π × radius² × height
Results update as you type.
Result
Cylinder, radius 3 cm, height 10 cm: volume 282.743 cm³ (0.282743 L), surface area 245.044 cm²
Volume
282.743cm³
- Surface areaAll faces together
- 245.044 cm²
- cm³ (mL)
- 282.743
- litres
- 0.282743
- m³
- 0.000282743
- in³
- 17.2541
- ft³
- 0.00998499
- yd³
- 0.000369814
- US gallons
- 0.0746929
- imperial gallons
- 0.0621948
How it’s calculated
Cylinder
π × radius² × height = 282.743 cm³
How the volume calculator works
Pick a shape and a unit, and enter its measurements. The calculator gives the volume in that unit cubed, the surface area where the measurements fix it, and the volume in litres, gallons and other units.
The formulas
Cube: side³
Box: length × width × height
Cylinder: π × radius² × height
Sphere: 4/3 × π × radius³
Cone: 1/3 × π × radius² × height
Rectangular pyramid: 1/3 × length × width × height
Triangular prism: ½ × base × triangle height × length
Worked examples
- A cylinder of radius 3 cm and height 10 cm: π × 9 × 10 ≈ 282.74 cm³, about 0.28 litres.
- A box 20 × 30 × 40 cm: 24,000 cm³ = 24 litres (6.34 US gallons).
- A sphere of radius 1 m: 4/3 × π ≈ 4.19 m³.
Frequently asked questions
How many litres is a cubic metre?
1 cubic metre is exactly 1,000 litres, and 1 litre is 1,000 cubic centimetres (millilitres). A cubic foot is about 28.32 litres.
What is the difference between US and imperial gallons?
A US gallon is 231 cubic inches, exactly 3.785411784 litres. An imperial (UK) gallon is exactly 4.54609 litres, about 20% larger. Both are listed.
Why is a cone one third of a cylinder?
A cone, or a pyramid, with the same base and height as a prism holds exactly one third of its volume. That is why both formulas have the factor 1/3.
Can I use it for a tank or a pool?
Yes, for shapes it lists. Measure the inside dimensions, and remember the result is the full volume: the water in it depends on how full you fill it.