Find the volume of the largest right circular cone that can be fitted in a cube whose edge is 14cm.

Explanation

Side of cube`=14 cm`
Radius of cube `r=(Side)/2=14/2cm=7 cm`
Height `h=14 cm`
Volume`=1/3pir^2h`
`=1/3pir^2h`
`=1/3×22/7×7×7×14 cm^3`
`=2156/3 cm^3`
`=718.67 cm^3`
`therefore` The volume of the largest right circular cone that can be fitted in a cube `=718.67 cm^3`.