Concept explainers
Suppose that a tank containing a liquid is vented to the air at the top and has an outlet at the bottom through which the liquid can drain. It follows from Torricelli's law in physics that if the outlet is opened at time
where k is a positive constant that depends on such factors as the viscosity of the liquid and the cross-sectional area of the outlet. Use this result in these exercises, assuming that h is in feet,
Suppose that the cylindrical tank in the accompanying figure is filled to a depth of 4 feet at time
(a) Find
(b) How many minutes will it take for the tank to drain completely?
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Calculus: Early Transcendentals, Enhanced Etext
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