Question

To the nearest tenth of a cubic inch, how much volume is added to a spherical balloon whose radius grows from 10 to 20 inches long?

Answer 1

First, find the volumes of each figure.
Remember that the volume of a sphere = $\frac{4}{3} \pi r^3$
Smaller sphere:
$\frac{4}{3}\pi*10^3$
4188.79 Cubic inches.

Larger sphere:
$\frac{4}{3}\pi*20^3$
33510.32 Cubic inches.

33510.32 - 4188.79 = 29321.53 cubic inches

Hope that helps!

Answer 2

First, find the volumes of each figure.
Remember that the volume of a sphere = 
Smaller sphere:

4188.79 Cubic inches.

Larger sphere:

33510.32 Cubic inches.

33510.32 - 4188.79 = 29321.53 cubic inches