You are given the great circle of a sphere is a length of 60 miles. What is the volume of the sphere?

V = 3646.5 miles^3

Step-by-step explanation:

The circumference formula applies here. C = 2pi*r, and so r = C / [2pi].

Thus, r = 60 miles / 6.28 = 9.55 miles.

The volume formula is next. V = (4/3) pi*r^3.

With r = 9.55 miles, this comes to V = (4/3) (3.14) (9.55) ^3 miles^3, or

V = 3646.5 miles^3