**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.**

**Solution:**

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Let's take an example and draw where AB=13 cm, BC=5 cm and CA=12 cm. Clearly, it would be a right angled triangle. There are only two possibilities for .

If, we revolve any of the triangle about CA which is 12 cm then we get a right circular cone of height 12 cm, slant height 13 cm and radius equal to 5 cm.

Volume of such cone