Question

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

A) 8245.7 in^3
B) 17367.6 in^3
C) 29321.5 in^3
D) 41225.4 in^3

Answer 1

C) 29321.5 in^3

Explanation:

We find the volumes of the two spheres and then we find the difference.

radius = 10 inches

V = (4/3)(pi)r^3

V = (4/3)(3.14159)(10 in)^3

V = 4188.8 in^3

radius = 20 inches

V = (4/3)(pi)r^3

V = (4/3)(3.14159)(20 in)^3

V = 33510.3 in^3

The difference in volumes is:

33510.3 in^3 - 4188.8 in^3 = 29321.5 in^3