Find the volume of the largest right circular cone that can be fitted in a cube whose edge is 14 cm.
Question:

Find the volume of the largest right circular cone that can be fitted in a cube whose edge is 14 cm.

Solution:

Radius of the base of the largest cone = 1/2 * edge of the cube

= 1/2 *14 = 7 cm

Height of the cone = Edge of the cube = 14 cm

Therefore, volume of cone $(v)=1 / 3 \pi r^{2} h$

$=1 / 3 * 3.14 * 7^{2} * 14=718.66 \mathrm{~cm}^{3}$

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