Volume Calculator
Calculate the volume of common 3D shapes — cube, rectangular box, cylinder, sphere, and cone.
Formulas used
- Cube — Volume = side³
- Rectangular box — Volume = length × width × height
- Cylinder — Volume = π × radius² × height
- Sphere — Volume = (4/3) × π × radius³
- Cone — Volume = (1/3) × π × radius² × height
Worked example
A cylinder with radius 3 and height 10 has a volume of π × 3² × 10 ≈ 282.74 cubic units. A sphere with radius 5 has a volume of (4/3) × π × 5³ ≈ 523.60 cubic units.
Frequently asked questions
Why is a cone's volume a third of a cylinder's?
A cone and a cylinder with the same base radius and height are related by a factor of exactly 1/3 — this is a well-known geometric result, which is why the cone formula reuses the cylinder's base area formula multiplied by 1/3.
What units will the result be in?
Whatever unit you entered your measurements in, cubed. If you enter centimeters, the volume is in cubic centimeters (cm³); if meters, cubic meters (m³), and so on.