Volume of Sphere Formula

Volume of Sphere

Formula

Summary

The volume of a sphere is given by two-thirds multiplied by the circle constant (tau) multiplied by the radius cubed, where . The value of is approximately . The radius is measured from the center of the sphere to any point on its surface.

Variable Description
The volume of the sphere.
The variable represents the radius of the sphere.
The circle constant (tau)

Usage Notes

The volume of a sphere is given by two-thirds multiplied by the circle constant (tau) multiplied by the radius cubed. For example, to calculate the volume of a sphere with a radius of 4 the formula is:

Volume of Sphere Given Radius of 1
Volume of Sphere Example
Steps
  1. Set up the volume for a sphere formula and substitute the radius into the equation.

  2. Evaluate the exponential expression.

  3. The volume of a sphere of radius one is equal to cube units or approximately cube units.

Volume of Sphere Given Radius of 2
Volume of Sphere Radius 2 Example
Steps
  1. Set up the volume for a sphere formula and substitute the radius into the equation.

  2. Evaluate the exponential expression.

  3. The volume of a sphere of radius one is equal to cube units or approximately cube units.