Question

The radius of a spherical balloon increases from 34 cm to 14
cm as air is pumped into it. Find the ratio of
surface areas of the balloon in these two cases.​

Answer 1

Given the diameter of the small balloon is 14cm and diameter bigger balloon is 28cm

Then the radius of small balloon =
2
14
​
=7cm

And radius of bigger balloon=
2
28
​
=14cm

We know the Surface area of balloon =4πr
2


Then the ratio of the surface area of two balloons =
4π(14)
2

4π(7)
2

​


=
196
49
​


=
4
1
​


Then the ratio of both balloon =1:4

Answer 2

Step-by-step explanation:

3 taken away from 0 gives