Mathematics, Statistics & Geometry

Volume Calculator

Calculate volume for common 3D shapes including cubes, rectangular prisms, cylinders, cones, spheres, hemispheres, and pyramids.

Volume
523.599
Formula UsedV = (4/3) * pi * r^3
Calculation StepsV = (4/3) * pi * 5^3 = 523.598776 cubic units

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Volume calculator for common solids

Volume measures the amount of 3D space inside a shape. Use this calculator for the most common geometry formulas: sphere, cylinder, cone, cube, rectangular prism, hemisphere, and pyramid.

Need a dedicated sphere workflow? Use the volume of a sphere calculator. If your input is liquid volume rather than dimensions, try mL to oz or oz to mL.

Volume depends on the selected 3D shape

Where:
r=
Radius for round solids
h=
Height
a=
Edge length for a cube

Common volume formulas

  • Sphere: V = (4/3) * pi * r^3
  • Cylinder: V = pi * r^2 * h
  • Cone: V = (pi * r^2 * h) / 3
  • Cube: V = a^3
  • Rectangular prism: V = length * width * height
  • Hemisphere: V = (2/3) * pi * r^3
  • Rectangular pyramid: V = (length * width * height) / 3

How to use the dimensions

The first input is used as radius for round shapes, length for prisms and pyramids, or edge length for cubes. The second and third inputs are used only for shapes that need them. Unused dimensions can stay unchanged.

Frequently Asked Questions

Volume is the amount of three-dimensional space enclosed by a solid object.

Multiply length by width by height: V = lwh.

Use V = (4/3)pir^3, where r is the radius of the sphere.