According to Torricelli's Law, the time rate of change of the volume V of water in a

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According to Torricelli's Law, the time rate of change of the volume V of water in a draining tank is proportional to the square root of the water's depth. A cylindrical tank of radius 10/√π centimeters and height 16 centimeters, which was full initially, took 40 seconds to drain.
a. Write the differential equation for V at time t and the two corresponding conditions.
b. Solve the differential equation.
c. Find the volume of water after 10 seconds.
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Calculus

ISBN: 978-0131429246

9th edition

Authors: Dale Varberg, Edwin J. Purcell, Steven E. Rigdon

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