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A spherical snowball melts at a rate proportional to its surface area. (a) write a differential equation for its volume, v. (use k for the constant of proportionality.) dv dt = correct: your answer is correct. (b) if the initial volume is s, solve the differential equation.

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MathPhys

Answer:

Explanation:

The rate of change in volume is proportional to the surface area:

dV/dt = kA

Integrating:

V = kAt + C

At t=0, V = s, so:

s = kA(0) + C

C = s

Therefore:

V = kAt + s

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