A spherical raindrop’s volume is increasing at when the radius is
MATHEMATICS · Subjective · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation
Problem
A spherical raindrop’s volume is increasing at 0.04 mm3/s when the radius is 0.50 mm. Determine the instantaneous rate at which the surface area of the raindrop is changing at that moment. Report your answer in square millimeters per second to three decimal places.