The diameter of spherical ballon increases from 14 cm to 28 cm as air is being pumped into it find the ratio of surface areas of the ballons in the two cases
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Let 1 sphere be s1 which has diameter 14cm and radius is 7cm.
Let 2 sphere be s2 which has diameter 28cm
And radius is 14cm.
Surface area of s1. 4×22/7×r². 4×22/7×7²
--------------------------- = - - - - - - - - - = - - - - - - - - -
Surface area of s2. 4 ×22/7×R². 4×22/7×14²
4×22×7 616. 1
= - - - - - - - - =. - - - - - = - - -
4×22×2×14. 2464. 4
The ratio is 1:4
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Let 2 sphere be s2 which has diameter 28cm
And radius is 14cm.
Surface area of s1. 4×22/7×r². 4×22/7×7²
--------------------------- = - - - - - - - - - = - - - - - - - - -
Surface area of s2. 4 ×22/7×R². 4×22/7×14²
4×22×7 616. 1
= - - - - - - - - =. - - - - - = - - -
4×22×2×14. 2464. 4
The ratio is 1:4
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