Question

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

Answer 1

Side of cube=14 cm

Radius of the largest cone that can be fitted in the cube (r)=$\frac{Side}{2}=\frac{14}{2}cm=7cm$

Height (h)=14 cm

$\therefore Volume=\frac{1}{3}\pi r^{2}h=\frac{1}{3}\pi r^{2}h=\frac{1}{3}\times \frac{22}{7}\times 7\times 7\times 14c{m}^3=\frac{2156}{3}c{m}^3=718.67c{m}^3$