A cylindrical tank is being filled so that its volume is increasing at 100 cm /s

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

Problem

A cylindrical tank is being filled so that its volume is increasing at 100 cm3^{3}/s. At a certain instant the radius is 5 cm and the height is 10 cm; at that same instant the height is rising at 2 cm/s. Determine the rate at which the radius is changing at that moment, including the correct sign and units.

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