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 two cases.
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Answer:
Ratio of surface area =2464616=41.
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R = radius of ballon = 7cm
r = radius of pumped ballon = 14cm
surface area of sphere before inflated / urface area of spherical ballon after inflated
=4×(22/7)×R×R / 4 × (22/7) × r×r
= R×R/r×r
=7×7/14×14
= 49 / 196
= 1:4
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