Question

Volume of a cone is $6280$ cubic cm and base radius of the cone is $30$ cm . Find its perpendicular height. ($\pi =3.14$)

Answer 1

Let the perpendicular height of the cone be $hcm$
Radius of the base of cone, $r=30cm$
Volume of the cone$=6280c{m}^3$
$\frac{1}{3}\pi r^{2}h=6280c{m}^3$
$\Rightarrow \frac{1}{3}\times 3.14\times (30{)}^2\times h=6280$
$\Rightarrow h=\frac{6280\times 3}{3.14\times 900}=6.67cm$
Thus the perpendicular height of the cone is $6.67cm$ approximately.