A water tank has the shape obtained by revolving the parabola x^2=by around the y-axis. The water depth is 4 feet at 12 noon, when a circular plug in the bottom of the tank is remonved. At 1 pm, the depth of the water is 1 foot.  a) Find the depth y=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 feet, what is the radius of the circular hole in the bottom?

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