A raindrop is a perfect sphere with radius r cm and surface area S cm2. Condensation accumulates on the raindrop at a rate equal to kS, where 4 cm/sec . Determine the rate at which the radius of the raindrop increases.

Rate=_____cm/sec

please explain? thanks!! :D

Question

A raindrop is a perfect sphere with radius r cm and surface area S cm2. Condensation accumulates on the raindrop at a rate equal to kS, where 4 cm/sec . Determine the rate at which the radius of the raindrop increases.

Rate=_____cm/sec

please explain? thanks!! :D

anonymous · Answer

What is the formula for surface area of a sphere? Using that, you can relate the rate surface area increases to the rate the radius increases.