The conical watering pail in Figure 18 has a grid of holes. Water flows out through the

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The conical watering pail in Figure 18 has a grid of holes. Water flows out through the holes at a rate of kA m3/min, where k is a constant and A is the surface area of the part of the cone in contact with the water. This surface area is A = πr √h+ r2 and the volume is V = 1/3 πr2h. Calculate the rate dh/dt at which the water level changes at h = 0.3 m, assuming that k = 0.25 m.

Roy 0.15 m (500) DOLC . 0000 00000000 1000 0 0 0 0 0 200 200 0000000 h 0.45 m |-

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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