Question

If the height of a cone is 18 cm and the volume is 924 cu cm, find the radius of its base.

Answer 1

Radius of cone (r) = ?
Height of cone (h) = 18 cm
Volume of cone = 924 cu cm
Volume of a cone =$\frac{1}{3}\mathrm{\pi }{r}^{2}h$
$$\begin{gathered} \Rightarrow 924=\frac{1}{3}\times \frac{22}{7}\times r^2\times 18 \\ \Rightarrow r^2=\frac{924\times 3\times 7}{22\times 18} \\ \Rightarrow r^2=49 \\ \Rightarrow r=7\mathrm{cm} \end{gathered}$$