A spherical balloon is filled with of helium gas. If a leak in the balloon causes the gas to escape at the rate of , then the rate at which the radius of the balloon decreases after the leakage began is
Explanation for the correct option:
Step 1. Volume of balloon; …..(1)
After 45 minutes, Volume
…..(2)
Step 2. Equate equation (1) and (2):
Step 3. Differentiate the volume of balloon with respect to :
…
The radius of the balloon decreases.
Hence, Option ‘C’ is Correct.