A cube of side 4cm contains a sphere touching its side. Find the volume of the gap in between.

Explanation

Volume of cube`=4xx4xx4=64`
As the sphere touches the side of the cube diameter`=4`
radius`=2`
Volume of sphere`=4/3pi (r^2)=33.51cm^3`
Hence the volume of the gap=V of cube-V of the sphere
`64-33.51=30.49cm^3`