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Application of Derivatives question

2012 · Shift 0 · Q36

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PYQ Library
JEE Main
Mathematics
Application of Derivatives
2012 · Shift 0 · Q36

Application of Derivatives question

2012 · Shift 0 · Q36

JEE MainMathematicsApplication of DerivativesMCQ+4 / −1

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 :

A
${{9 \over 7}}$
B
${{7 \over 9}}$
C
${{2 \over 9}}$
D
${{9 \over 2}}$

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