While building a snowman, a large snowball is created at the rate of 5 inches per hour. How fast is the volume of the snowball changing at the instant the snowball has a radius of 10 inches?

Answer 1

... at a rate of 5 inches/hr sounds like a linear rate of change.
I will assume that the radius is changing at that rate

V = (4/3)pi r^3
dV/dt = 4pi r^2 dr/dt
dV/dt = 4pi(100)(5)
= 2000pi cubic inches/hr