Geometry · Area, Surface Area & Volume

Volume of a Sphere

HSG-GMD.A.3

Definition

V = four thirds pi r cubed, depending only on the radius.

Examples

  • Four thirds pi (3 cubed) = 36 pi cubic units.
  • A sphere with radius 6 has volume four thirds pi(6 cubed) = 288 pi cubic units.

Key rule

A sphere's volume depends only on its radius, cubed.

Memory hook

Four-thirds pi r cubed.