Find the volume of the largest right circular cone that can be cut out of a cube whose edge is 14 cm.

GIVEN : side of cube ”s” = 14cm

we take π =

TO FIND : volume of the largest right circular cone that can be cut out of a cube = ?

PROCEDURE :

For the cone to largest, its diameter should be equal to side of the cube ie. d = 14cm

And, height of the cone should also be equal to the side of the cube ie. h = 14cm

Now, radius of the cone “r” = 7cm

Now, volume of cone “V” = × π r²h

Now putting all the values in the above formula, we get

V = × π × (7)² × 14

= × × 7 × 7 × 14

= × 22 × 7× 14

= 718.666cm³

∴ volume of the largest right circular cone that can be cut out of a cube is 718.666cm³.