Answer:
r = 9.8475 in
Step-by-step explanation:
We assume that the ball is spherical.
The volume of a spherical ball is:
[tex]V = \frac{4}{3}\pi r ^ 3[/tex]
We know that:
[tex]V = 4000in ^ 3\\4000 = \frac{4}{3}\pi r ^ 3[/tex]
Then
[tex]r ^ 3 = \frac{3*4000}{4(\pi)}\\\\r = \sqrt[3]{\frac{3*4000}{4(\pi)}}\\\\r = 9.8475in[/tex]
Below is the graph of the cubic function
