Question

The diameter of a spherical balloon increases from 14cm to 28 cm as air is being pumped into it find the ratio of surface area of the balloons
in two cases

Answer 1

Hiii !

We know Surface area of a sphere = 4πr²
let d1 be the diameter of the first balloon and d2 be the diameter of the new balloon.

∴ d1 = 14cm and d2 = 28 cm
now, r1 = 14/2= 7cm and r2 = 28/2 = 14 cm

surface area of first ballon = 4×(22÷7)×7×7
                                           = 616 cm² 

surface area of second balloon = 4×(22÷7)×14×14
                                                  =  2464 cm²
∴ the ratio of the two balloons = 616/2464 = 308/1232 = 154/616 = 77/308
                                                 = 1/4
 ⇒ ratio = 1:4
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HOPE IT HELPS :)

#BrainofBrainly

Answer 2

Answer:

the ratio of the two balloon

616/ 2464

do cancellation with 2 table

u get the answer 1/4 =1:4.

hope u guys it's help full tu u