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Math Help - Weird Related Rates problem

  1. #1
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    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..
    Last edited by mr fantastic; April 14th 2009 at 08:50 PM. Reason: Merged posts
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