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Volume of a Sphere

Sphere Volume Formula

The formula for volume of a sphere is given as:

V = 4⁄3πr3

Where V is the volume and r is the radius.

volume of a sphere

Example Problems

Problem 1:
What is the volume of a sphere with a radius of 10?

Solution:
1.) Plugging the radius into the volume formula, we get:
V = 4⁄3πr3
V = 4⁄3π(103) = 4000⁄3π
2.) The volume of the sphere is 4000⁄3π.

Problem 2:
What is the volume of a sphere with a diameter of 10?

Solution:
1.) Dividing the diameter by 2 to find radius, we get:
10/2 = 5
r = 5
2.) Plugging the radius into the volume formula, we get:
V = 4⁄3πr3
V = 4⁄3π(53) = 500⁄3π
3.) The volume of the sphere is 500⁄3π.

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