Question

Find the volume of the largest right circular cone that can be cut out of a cube whose edge is $7cm$.

Answer 1

Volume of cone $=\frac{1}{3}\pi (r{)}^{2}h$

Dimensions of cube $=7cm$

For the largest cone, height will be the same as the height of cube = 7 cm

The diameter will be the same as the length of the cube = 7 cm

Therefore, volume of cone will be $=\frac{1}{3}\times \frac{22}{7}\times \frac{7}{2}\times \frac{7}{2}\times 7$

$=\frac{49\times 11}{3\times 2}$

$=\frac{539}{6}c{m}^3$