A water tank has the shape obtained by revolving the parabola x 2 = by around the

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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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Differential Equations And Linear Algebra

ISBN: 9780134497181

4th Edition

Authors: C. Edwards, David Penney, David Calvis

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Question Posted: Jun 25, 2023 04:11 AM

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A water tank has the shape obtained by revolving the parabola x 2 = by around the

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a b The tank is empty after t 87 hr that is at 10834 pm c ...View the full answer

Differential Equations And Linear Algebra

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