Question

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

Answer 1

volume of cone is 190.92857

Answer 2

Answer:

Since the cube's edge is 9cm, the height of the largest cone cut out from the cube is also 9 cm.

Also the diameter of the base of the cube would also be 9 cm as the base covers and touches all parts of the edges of the cube. Hence Radius would be half of 9 which is 4.5 cm.

Volume of Cone = 1/3 πr²h = 1/3 π ( 4.5 )² × 9

Volume of Cone = 1/3 × 3.14 × 20.25 × 9 = 190.755 cm³

Hence Volume of the largest cone that can be cut is 190.755 cm³