A conical reservoir is 12 m deep and 9 m in diameter at the top

MATHEMATICS · Subjective · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

A conical reservoir is 12 m deep and 9 m in diameter at the top. At the moment when the water is 4 m deep, the depth is increasing at a constant rate of 0.06 m/s. Determine the instantaneous rate, in m²/s, at which the area of the exposed water surface is changing at that moment.

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