A water tank has the shape obtained by revolving the parabola x2 = by around the y − axis. The water depth is 4 ft at 12 noon, when a circular plug in the bottom of the tank is removed. At 1 P.M. the depth of the water is 1 ft.
(a) Find the depth y(t) of water remaining after t hours.
(b) When will the tank be empty? (c) if the initial radius of the top surface of the water is 2 ft, what is the radius of the circular hole in the bottom?
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