I'm trying to solve this problem, but I don't know how to set up the problem:

A golf ball consists of a spherical cover over a solid core. Let "t" denote the thickness of the cover and "r" denote the radius of the core.

a) Determine a formula for the exact volume of the cover

b) Use differentials to approximate the volume of the cover at "r"

c) If r = 0.8 inches and t = 0.04 inches, determine the exact volume of the cover

d) If r = 0.8 inches and t = 0.04 inches, approximate the volume of the cover

e) Compute the error ( true value - approximate value)

f) Compute relative error (error/actual value)

I know it seems like a lot to ask for, and I'm not asking for the answers, or all of the answers; I just need some help so that I can work through the problem.

Thank you in advance.