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 : [AIEEE 2012]

AIEEE 2012 Solved Paper

Section: Mathematics

Question : 72 of 89

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A spherical balloon is filled with 4500π cubic meters of helium gas. If a leak in the balloon causes the gas to escape at the rate of 72π 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 :

[AIEEE 2012]

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