Given,
The side of the cube = 9 cm
The largest cone that can be cut from cube will have the base diameter = side of the cube
2r = 9
r = 9/2 cm = 4.5 cm
And,
Height of cone = side of cube
So, height of cone (h) = 9 cm
Thus,
Volume of the largest cone to fit in = 1/3 π × r2 × h
= 1/3 π × 4.52 × 9
= 190.93 cm3
Therefore, the volume of the largest cone to fit in the cube has a volume of 190.93 cm3.
