Question

Find the volume of the largest circular cone that can be cut out of a cube whose edge is $9cm.(\pi =\frac{22}{7})$.

Answer 1

Since the edge of cube is 9 cm this will be the altitude of the cone.
The radius of circular cone will be 9:2=4.5 cm.
The volume of cone is given by formula: , where R is the radius and H the altitude of cone. Since we are asked for the largest cone, its volume must be equal or less than the volume of cube. We write:

=
=
V=