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16 January, 08:53

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 2 cm^3/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 V = 1/3 pi r^2 h)

(A) 32/25 pi cm/sec

(B) 96/125 pi cm/sec

(C) 2/3 pi cm/sec

(D) 2/9 pi cm/sec

(E) 1/200 pi cm/sec

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