The surface areas of two spheres are in the ratio of 64 : 81. Find the ratio of their volumes, in the order given.
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Correct answer: A
Explanation
The correct answer is Option 1 i.e. 512 : 729.
If the ratio of the surface area of the two spheres is 64 : 81, then the ratio of their radii = 8 : 9
If the ratio of their radii is 8 : 9, then the ratio of their volume = 83 : 93 = 512 : 729