A spherical balloon is filled with … cubic meters of helium gas. If a leak in the balloon causes the gas to escape at the rate of … cubic meters per minute, then the rate (in meters per minute) at which the radius of the balloon decreases … minutes after the leakage began is :

Option C. Volume of spherical balloon …

Application of Derivatives

JEE Main 2012 · Annual, Paper 1 · Q2741

MathematicsMedium175×since 2002Q2741

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 :