# A right triangle ABC with sides 5 cm, 12 cm and 13 cm is revolved about the side 12 cm. Find the volume of the solid so obtained.

The volume of the cone is obtained as follows.

$$\text { Solid so obtained is a cone with } \mathbf{r}=\mathbf{5} \& \mathbf{h}=\mathbf{1 2}\\ \Rightarrow \text { Volume }=\frac{1}{3} \pi r^{2} h\\=\frac{\pi}{3} \times 25 \times 12\\=100 \pi \mathrm{cm}^{2}$$

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