Question

The volume of a right circular cone is 9856 cm³. If the diameter of its base is 28 cm, find the height of the cone.

Answer 1

Let h cm be the height of the cone.
Diameter of the base of the cone = 28 cm
∴ Radius of the base of the cone = 14 cm

We have:
$$\begin{gathered} \frac{1}{3}\mathrm{\pi }\times {\left(14\right)}^2\times h=9856 \\ \Rightarrow h\mathit{}=\frac{9856\times 3}{22\times 14\times 2}=48\mathrm{cm} \end{gathered}$$

Hence, the height of the given cone is 48 cm.