Use the differential equation for a leaking container, Eq. (3). The tank in Figure 11(B) is a

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Use the differential equation for a leaking container, Eq. (3).

dy dt B 2gy A(y)

The tank in Figure 11(B) is a cylinder of radius 4 m and height 15 m. Assume that the tank is half-filled with water and that water leaks through a hole in the bottom of area B = 0.001 m2. Determine the water level y(t) and the time te when the tank is empty.

Radius 4 m 15 m Hole

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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