Question
The volume of two sphere are in the ratio of 64.: 27. The ratio of their surface areas is :
Answer: Option D
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Let heir radii be R and r, Then .
`(4/3 pi R^3)/(4/3 pi r^3) = 64/27`
`rArr (R/r)^3 = 64/27`
`rArr (R/r)^3 = (4/3)^3`
`rArr R/r = 4/3`
Ratio of surface areas = `(4 pi R^2)/(4 pi r^2) = (R/r)^2 = (4/3)^2 = 16/9` = 16 : 9
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