Question

Deepak bought 72 balloons to celebrate his birthday. If total surface area of all balloons is 44352 sq. cm. , what volume of methane gas will be used to fill at the balloons ?k

Answer 1

Total surface area of a balloon = 4πr²

Total surface area of 72 balloon =  72 ×4πr² = 44352 cm ^2
                                                 r = 7

Volume of ethane gas used = 72 ×4/3πr³
Volume of gas = 72×4×22×7×7/3 
                         = 103488 cm³

Answer 2

Given,

Total surface surface area of 72 balloon is = 44352cm^2

Let's think the redius is = r

72 × 4πr^2= 44352cm^2

or,72 × 4×22/7×r^2 = 44352

or, r^2 = 44352 × 1/72 × 1/4 × 7/22

or, r^2 = 49

or, r = 7

Now,

The volume of the balloons = 72 × 4/3 × πr^3

= 72 × 4/3 × 22/7 × 7 ^3

=103488cm^3

The volume of the methane gas is 103488vm^3

Hope it helps.