Question

A piece of metal in the form of a cone of radius $3$ cm and height $7$ cm melted and cast into a cube Find the side of cube ( nearest to a whole number).

Answer 1

Volume of a cone$=\frac{1}{3}\pi r^{2}h$
$=\frac{1}{3}\times \frac{22}{7}\times 3\times 3\times 7c{m}^3$
$=66c{m}^3$
$\therefore$ Volume of cube=Volume of the cone
$=66c{m}^3$
$\therefore$ side of a Cube$={\left(66\right)}^{1/3}cm=4.$approx