A spherical snowball is melting so that its radius decreases at a rate of

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

Problem

A spherical snowball is melting so that its radius decreases at a rate of 0.2 cm/min0.2\text{ cm/min}. At the instant when the radius is 5 cm5\text{ cm}, is the surface area of the snowball increasing or decreasing? Briefly explain your answer.

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