The ratio of the volumes of two spheres is 8 : 27 . the ratio between their surface areas is

Question

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Answer 1

The ratio of the volumes of two spheres is 8 : 27 -- this is the cube of the corresponding ratio of linear measurements, so that's 2/3.

 

Squaring 2/3 gives 4/9 so the ratio between surface areas is 4:9.