Question

The volume of air inside a rubber ball with radius r can be found using the function . What does represent?

Answer 1

Since in this problem, we are dealing with a balloon we can now say that the container or the shape we are dealing with is a sphere. The volume of a sphere is $V = \frac{4}{3} \pi r^{3}$ hence the volume is directly proportional to the radius. The volume increase by a factor of $r^{3}$