At a certain instant

MATHEMATICS · Subjective · A Level · Mathematics · Differentiation · Differentiation

Problem

At a certain instant, the radius rr (in cm) of a melting spherical snowball is changing at a rate of drdt=−0.2 cm/min\dfrac{dr}{dt} = -0.2\text{ cm/min} when r=5 cmr = 5\text{ cm}. Describe whether the volume of the snowball is increasing or decreasing at that instant and briefly justify your answer.

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