The constant of proportionality is k, V is the volume, S is the surface area. Remember that you must use the prime notation for derivatives, not the Leibniz notation, in your answers.
A raindrop evaporates at a rate that is proportional to the surface area: .

Since and we have by the chain rule that . Substituting into the original differential equation and solving we find that
so that

You can earn partial credit on this problem.