A right circular cone is exactly fitted inside a cube in such a way that the edges of the base of th...........

Quantitative Aptitude ( CCS) Mensuration 3D

A right circular cone is exactly fitted inside a cube in such a way that the edges of the base of the cone are touching the edge of one of the faces of the cube and the vertex is on the opposite face of the cube. If the volumes of cube is 216 cm³ , what is the volume of the cone (approximately)?

56 cm³

60 cm³

46 cm³

50 cm³

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Explanation:

radius of cone= a/2
volume(a³)=216 , hence a=6
r= 3 cm; height of the cone= 6cm (as it is fitted in this cube of side 6 cm, hence its height will also be 6 cm)
Volume of cone= 1/3 π*r² * h =56