Published by:
CGP EDU Academic Team
Published on: August 14, 2026
The surface area of a balloon of spherical shape being inflated, increases at a constant rate. If initially, the radius of balloon is 3 units and after 5 seconds,, it becomes 7 units, then its radius after 9 seconds is :
Text Solution
Verified by ExpertsThe correct answer is:
A
Let r be the radius of spherical balloon
S = Surface area
(constant)
(C is constant of integration)
For t = 0,r = 3 
36 
= C
For t =5,r = 7 
K = 32 
4 
r 2 =32 
t + 36 
r 2 =8t + 9
for t = 9
r 2 = 81
r = 9
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