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JEE MATHEMATICS MCQ: RATE MEASURE

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A spherical balloon is filled with

4500 \pi

cubic meters of helium gas. If a leak in the balloon causes the gas to escape at the rate of

72 \pi

cubic meters per minute, then the rate (in meters per minute) at which the radius of the balloon decreases 49 minutes after the leakage began is:

View answer and explanation

Correct option: C

\frac{2}{9}

Option C (

\frac{2}{9}

) is correct because after 49 minutes, the rate at which the radius decreases is calculated to be

\frac{2}{9}

meters per minute.

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