Volume Calculator
Find the volume of common 3D shapes. Choose the shape and the units, enter the measurements, and see the volume in cubic units, liters, and US gallons.
Volume
9,424.78 cm³
Check the highlighted fields to see your result.
- Liters
- 9.4248
- US gallons
- 2.4898
Results are estimates for information only and do not constitute financial, medical, or legal advice.
How volume is calculated
Volume is the space inside a 3D shape, measured in cubic units. For shapes with straight sides, it's the area of the base times the height. Round shapes use π (about 3.1416).
The formulas
- Box: length × width × height
- Cube: side³
- Cylinder: π × radius² × height
- Sphere: 4/3 × π × radius³
- Cone: 1/3 × π × radius² × height
- Pyramid: 1/3 × length × width × height
Worked example
A cylindrical bucket has a radius of 10 cm and a height of 30 cm.
- Volume: π × 10² × 30 = π × 3,000 ≈ 9,424.78 cm³.
- In liters: 9,424.78 ÷ 1,000 ≈ 9.42 liters, or about 2.49 US gallons.
Frequently asked questions
How do I find the radius if I only know the diameter?
Divide the diameter by 2. A pipe or can that is 20 cm across has a radius of 10 cm.
Why is a cone one third of a cylinder?
A cone with the same base and height as a cylinder holds exactly one third as much. The same is true for a pyramid compared with a box of the same base and height.
How many liters are in a cubic meter?
1,000 liters. A liter is the volume of a cube 10 cm on each side, so 1,000 cm³ = 1 liter and 1 m³ = 1,000 liters. A US gallon is 231 cubic inches, or about 3.785 liters.