Find the Volume of the largest right circular cone that can be cut out of a cube whose edge is 9cm .

Answers (1)

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

	herefore             r= Radius of the base of the cone =frac92cm  , h= Height of the cone =9cm

Hence , Volume of the cone =frac13pi r^2 h

Rightarrow          Volume of the cone =frac13	imes frac227	imes frac92	imes frac92	imes 9 cm^3=190.93cm^3

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