Suppose that we pump water into an inverted right circular conical tank at the rate of 5

Chapter 4, Problem 70

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Suppose that we pump water into an inverted right circular conical tank at the rate of 5 cubic feet per minute (i.e., the tank stands with its point facing downward). The tank has a height of 6 ft and the radius on top is 3 ft.What is the rate at which the water level is rising when the water is 2 ft deep? (Note that the volume of a right circular cone of radius r and height h is V = 1 3r 2h.)

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