**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 Sphere is the amount of space it occupies. Volume is measured in cubic units (in^{3},ft^{3},cm^{3},m^{3} etc).

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

The volume of a hemisphere is one-half of the volume of the related sphere.

**Example 1:**

Find the volume of the sphere. Round to the nearest cubic meter.

**Solution**

The formula for the volume of a sphere is…

From the figure, the radius of the sphere is 8 m.

**Example 2:**

A sphere has a volume of 500 cm^{3}. Calculate the radius of the sphere. Round your answer to the nearest whole number.

**Solution**

The formula for the volume of a sphere is…

Substitute V = 500…

Re-arrange for r…

The opposite of the cubic power is the cubed root…