AP Police SI Mains 2019 Arithmetic and Reasoning

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$$=9πk.$$ and Volume of cube$$=2k.$$

So,$$(4/3)πr^3=9πk$$

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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