Question

find the height of largest right circular cone that can be cut out of a cube whose volume is 729cmcube

Answer 1

Volume of the cube = 729 cm3
Let s = edge of the cube
⇒s3 = 729⇒s = 9 cm
Height of the cone = Length of the edge of the cube = 9 cm

Answer 2

Heya,

Given:
Volume of cube= 729cm^3

Side of the cube = Height of the right circular cone

So,

To find the side of the cube:-

Volume = S^3
729^3 = S^3
9 = S [9×9×9=729]

Therefore,

The height of the right circular cone is 9cm

Hope my answer helps you :)

Regards,
Shobana