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JEE MATHEMATICS MCQ: RATE MEASURE

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A sphere of

10 \mathrm{~cm}

radius has a uniform thickness of ice around it. If ice is melting at the rate of

50 \mathrm{~cm}^3 / \mathrm{min}

when thickness is

5 \mathrm{~cm}

, then rate of change of thickness is

View answer and explanation

Correct option: B

\frac{1}{18 \pi}

The correct answer is

\frac{1}{18 \pi}

because this is the calculated rate of change of the ice thickness based on the given melting rate and thickness.

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