Question

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

Answer 1

Step-by-step explanation:

The base of the largest right circular cone will be the circle inscribed in the face of the cube and its height will be equal to an edge of the cube.

Radius of the base of the cone r=

2

9

m

Height of cone =h=9cm

Volume of the cone=

3

1

πr

2

h

volume of the cone =

3

1

×

7

22

×

2

9

×

2

9

×9cm

3

=

14

2673

cm

3

=190.93cm

3