A spherical ball of ice melts in such a way that the rate at which its volume…

MATHEMATICS · Subjective · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

A spherical ball of ice melts in such a way that the rate at which its volume decreases at any instant is directly proportional to its surface area. Prove that the radius of the ice ball decreases at a constant rate.

Related theory

Volume of Solids
Rates of Change
Rate of change of quantities

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