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Question

The surface areas of two spheres are in the ratio 1 : 4. Find the ratio of their volumes.


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Solution

Sol:
Given that surface areas of two spheres are in the ratio 1:4.

43πr2 : 43πR2 = 1 : 4

r : R = 1 : 2.

Now ratio of volumes of two spheres = 43πr3 : 43πR3

r3 : R3 = 13 : 23 = 1:8


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