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 2D

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 edges of one face of the cube and the vertex is on the opposite face of the cube. If the volume of the cube is 512 cubic cm. find the approximate volume of the cone?

104 cubic cm

124 cubic cm

134 cubic cm

144 cubic cm

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Explanation:

when cone is completely fitted inside the cube,
then diameter of cone = side of cube and height of cone = height of cube
so, volume = (1/3)*(22/7)*4*4*8 = 134 (approx)