Question

The volume of a right circular cone of height 12 cm and base radius 6 cm, is
(a) (12π) cm³
(b) (36π) cm³
(c) (72π) cm³
(d) (144π) cm³

Answer 1

(d) (144π) cm³

Volume of the cone = $\frac{1}{3}\mathrm{\pi }{r}^{\mathit{2}}h\mathit{}$
$$\begin{gathered} =\frac{1}{3}\mathrm{\pi }\times 6^2\times 12 \\ =\mathrm{\pi }\times 36\times 4 \\ =144\mathrm{\pi }{\mathrm{cm}}^3 \end{gathered}$$