The radius of a spherichal ballon increases from7 cm to 14 cm as air is being pumped into it .find the ratio of surface areas of the ballons in two cases
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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
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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