A cup has the shape of a right circular cone. The height of the cup is 12 cm, and the radius of the opening is 3 cm. Water is poured into the cup at a constant rate of 3 2 cm /sec. What is the rate at which the water level is rising when the depth of the water in the cup is 5 cm? (The volume of a cone of height h and radius r is given by 1 2 3 V rh = p . ) (A) 32 cm/sec 25p (B) 96 cm/sec 125p (C) 2 cm/sec 3p (D) 2 cm/sec 9p (E) 1 cm/sec
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correct option is (a)
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