the ratio of the volume a cube to that sphere which will..., Area & Volume, General Mathematics

Question:The ratio of the volume of a cube to that of a sphere which will fit inside the cube is :

A `4 : R` 
B `4 : 3r` 
C `6 : r` 
D `2 : r`

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+ AnswerC

+ ExplanationLet the edge of the cube be a.

Then,volume of the cube

`= a^3.`

Radius of the sphere

`= (a/2).`

Volume of the sphere

`= 4/3 r (a/2)^3`

`= (ra^3)/6.`

:. Requied Ratio

`= a^3 : (ra^3/6`

`= 6 : r.`

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