Question

The volume of a cone is $462$ $m^3$ Its base radius is $7$ $m$ . Find its height.

Answer 1

volume of the cone = $\frac{1}{3}\pi \left(r^2\right)h$

$462m^3=\frac{1}{3}\pi (7{)}^{2}h$

$462=\frac{22\times 7^2\times h}{3\times 7}$

$\frac{3\times 462m^3}{22\times 7}=h$

$h=\frac{1386}{7\times 22}$

$\therefore h=9m$