A sphere is inscribed in a cube. The ratio of the volume of the sphere to the volume of the cube is

Options

A. `0.79:1`
B. `1:2`
C. `0.52 :1`
D. `1:3.1`

Answer

C

Explanation

Diameter of sphere =side of cube.
Volume of sphere `=(4)/(3)pir^(2)`.
Volume of cube `=s^(3)=(2pi)^(3)=8r^(3)`.
`("Volume of sphere")/("Volume of cube")=((4)/(3)pir^(3))/(8r^(3))=(pi)/(6) ~~(3.14)/(6)~~(0.52)/(1)`