Finding the volume of a sphere

A sphere is a set of points in space that are a given distance r from the center. The volume of a sphere is measured in cubic units such as cm^3, m^3, in^3, etc.

The volume of a sphere is four-thirds times pi times the radius cubed.

Note: The volume of a sphere is 2/3 of the volume of a cylinder with the same radius, and height equal to the diameter.

Example 1:

Calculate the volume of the sphere.

Solution:

Apply the formula of the volume of a sphere:

The radius of the sphere is 8.

So, V = $\frac{4}{3}\pi (8)^3$.

Now, simplify V = $\frac{4}{3}\pi (512)$ = 2145.

Answer: The volume of the sphere is about 2145 m^3.

Example 2:

What is the volume of a sphere with a radius of 6 meters?

Solution:

V = $\frac{4}{3}\pi (6)^3$

V = $\frac{4}{3}\pi (216)$

V = 904.78 m^3

Answer: The volume of the sphere is 904.32 m3