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:

Limit, Continuity and Differentiability: JEE Main 2012 Mathematics question

JEE Main 2012 · Annual, Paper 1 · Q2741

JEE Main 2012Annual, Paper 1MathematicsMediumLimit, Continuity and Differentiability420× since 2002

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 :

JEE Main 2012 Limit, Continuity and Differentiability Question with Solution (Annual Paper 1, Q2741) | JEE Arc