The largest right circular cone is formed by cutting a wooden cubical piece of 14cm side. Find the volume of the cone.
Given,
Side of the cube (a)=14cm
The diameter of the largest cube cut off =14cm
The radius of ths coner =142=7cm
The height of the cone cut off (h)=14cm.
∴ Volume of cone =13πr2h
13×227×7×7×14
=21563
Hence, the volume of cubical piece cut off =718.67cm3