Mathematics

Mathematics

Problem

A spherical raindrop’s volume is increasing at 0.04 mm3 ⁣/s0.04\text{ mm}^3\!/\text{s} when the radius is 0.50 mm0.50\text{ 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.

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