(Q9).Find the volume of the largest right circular cone that can be cut out of a cube whose edge is 7 cm.
Radius of the cone with the largest volume that can be cut out from a cube of edge 7 cm =
7
2
cm
Height of the cone = edge of the cube = 7 cm
∴ Volume of the cone V =
1
3
πr
2
h
=
×
×
×
×
=
cm
3
.
Clear