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1) 2) A conical water tank with vertex down has a radius of 14 feet at the top a

ID: 2831846 • Letter: 1

Question

1)

2)

A conical water tank with vertex down has a radius of 14 feet at the top and is 23 feet high. If water flows into the tank at a rate of 20 ft /min, how fast is the depth of the water increasing when the water is 16 feet deep? The depth of the water is increasing at ft/min. Gravel is being dumped from a conveyor belt at a rate of 20 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height arc always equal. How fast is the height of the pile increasing when the pile is 15 feet high? (Recall that the volume of a right circular cone with height h and radius of the base r is given by V = 1/3 r2h)

Explanation / Answer

1)0.06711

2)0.1131

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