The radius of a spherical balloon increases from 7cm to 14cm as air is being pumped into it. Find the ratio of surface areas of the balloon in the two cases.
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Step-by-step explanation:
Given radius r
1
=7 cm
r
2
=14 cm
Initial surface area (r
1
=7)=4πr
2
=4×
7
22
×7×7
=616 cm
2
Surface area (r
2
=14)=4πr
2
=4×
7
22
×14×14
=2464 cm
2
Ratio of surface area =
2464
616
=
4
1
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