Question

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

Answer 1

Let the perpendicular height of the cone be h cm.

Radius of the base of cone, r = 30 cm

Volume of the cone = 6280 cm³

$$\begin{gathered} \therefore \frac{1}{3}\mathrm{\pi }{r}^{2}h=6280{\mathrm{cm}}^3 \\ \Rightarrow \frac{1}{3}\times 3.14\times {\left(30\right)}^2\times h=6280 \\ \Rightarrow h=\frac{6280\times 3}{3.14\times 900}=6.67\mathrm{cm} \end{gathered}$$
Thus, the perpendicular height of the cone is 6.67 cm approximately.