Question: The rate of change of volume V of a melting snowball is proportional to the surface area S of the ball; that is, dV/dt =

The rate of change of volume V of a melting snowball is proportional to the surface area S of the ball; that is, dV/dt = -kS, where k is a positive constant. If the radius of the ball at t = 0 is r = 2 and at t = 10 is r = 0.5, show that r = 3/20 t + 2.

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