The radius of a spherical balloon is inflated from 1.5 c m to 2.5 c m by pumping more air in it. Find the ratio of surface area of resulting balloon to the original balloon.

Answers

Question :

The radius of a spherical balloon is inflated from 1.5 c m to 2.5 c m by pumping more air in it. Find the ratio of surface area of resulting balloon to the original balloon.Submitted on 23/12/2023 | Answered by Vandana Rana

Answer :

Surface area of sphere=4πr²


 S1=4π(1.5)² 

S2=4π(2.5)² 

 Ratio of S1 and S2 S1/S2=(1.5×1.5)/(2.5×2.5) 

=( 3×3)/(5×5)  

=9/25