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

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 .

$\therefore$             $r=$ Radius of the base of the cone $=\frac{9}{2}cm$  , $h=$ Height of the cone $=9cm$

Hence , Volume of the cone $=\frac{1}{3}\pi r^2 h$

$\Rightarrow$          Volume of the cone $=\frac{1}{3}\times \frac{22}{7}\times \frac{9}{2}\times \frac{9}{2}\times 9 cm^3=190.93cm^3$

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