Volume of a Sphere

Example:

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

Solution

The formula for the volume of a sphere is

$V=\frac{4}{3}\pi r^3$

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

Substitute $8$ for $r$ in the formula.

$V=\frac{4}{3}\pi {\left(8\right)}^3$

Simplify.

$V=\frac{4}{3}\pi \left(512\right)$

$\approx 2145$

Therefore, the volume of the sphere is about $2145{\text{m}}^3$ .