Question

The volume of 2 sphere are in ratio 64:27 find the ratio of their surface area?

Answer 1

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Answer 2

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Let their radius be R1 and R2

we know that volume of sphere = 4/3 pi r^3

=> R1^3/ R2^3 = 64 /27
=> R1 ^3 / R2^3 = (4/3)^3
=> R1 / R2 = 4/3

NOW ,

Ratio of Surface area = 4piR1^2/ 4 piR2^2
=> (R1/ R2) = (4/3)^2
=> R1 / R2 = 16 / 9

So , Ratio of their surface area is 16:9

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