Question 72
If the volumes of a sphere and a cube are in the ratio $$9\pi$$ : 2, then the ratio of the radius of the sphere to the edge of the cube is
Solution
Let say, Volume of sphere$$=9Οk.$$ and Volume of cube$$=2k.$$
So,$$(4/3)Οr^3=9Οk$$
or,$$r=3k/2^(2/3).$$
and edge of cube$$=k2^(1/3).$$
So, required ratio would be$$=3:2.$$
B is correct choice.
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