Question

Find the volume of the largest right circular cone that can be cut out of a cube whose edge is $9cm$.

Answer 1

Largest right circular cone will have same height and diameter as edge of cube.

$Volume=\frac{1}{3}\pi r^{2}h$

$=\frac{1}{3}\pi (4.5{)}^{2}9=190.85c{m}^3$