The radius of an air bubble is increasing at the rate of

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

Problem

12. The radius of an air bubble is increasing at the rate of

\frac{1}{2} \mathrm{~cm} / \mathrm{s}

. At what rate is the volume of the bubble increasing when the radius is 1 cm ?