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The conical watering pail with height 0.45 m and radius 0.15 m has a grid of holes. Water flows out through the holes at a

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The conical watering pail with height 0.45 m and radius 0.15 m has a grid of holes. Water flows out through the holes at a rate of kAm /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 = arvh2 + 2 and the volume is V = Lar2h. Calculate the rate h at which the water level changes at h = 0.18 m, assuming that k = 0.32 m/min. 0.15 m 0.45 m h K (Give your answer to two decimal places.) dh 1.01 dt m/min

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