Q5 of 38 Page 127

The volumes of the two spheres are in the ratio 64 : 27. Find the ratio of their surface areas.

Given: Ratio of volume of two sphere=64:27

We know that,


Let r1 = radius of first sphere


r2 = radius of second sphere


Thus,






We know that, Surface area of sphere = 4πr2


Where


r = radius of a sphere


Now,



Therefore, ratio of surface area of two sphere is 16:9


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