# Thread: Weird Related Rates problem

1. A coffeepot has a cylinder shape with radius 5 inches. Let h be the depth of the coffee in the pot, measured in inches, where h is a function of time t, measured in seconds. The volume V of coffee in the pot is chaning at the rate of -5pisqrt[h] cubic inches per second.

a) Given that h=17 at time t=90, solve the differential equation dh/dt = sqrt[h]/-5 for h as a function of t

b) At what time t is the coffeepot empty?

I had tried plugging in 17 into the equation, but I didn't know what to do..