A sphere is a solid with all its points the same distance from the center. The distance is known as the radius of the sphere. The maximum straight distance through the center of a sphere is known as the diameter of the sphere. The diameter is twice the radius.

The following figure gives the formula for the volume of sphere. Scroll down the page for examples and solutions.

How to find the volume of a sphere?

The volume of a sphere is equal to four-thirds of the product of pi and the cube of the radius.

The volume and surface area of a sphere are given by the formulas:

where r is the radius of the sphere.

EXAMPLE 1:

Calculate the volume of sphere with radius 4 cm.

Solution:

Volume of sphere

We can also change the subject of the formula to obtain the radius given the volume.

DEMONSTRATION:

The volume of a spherical ball is 5,000 cm^{3}. What is the radius of the ball?