# 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:**

Since the triangle is revolved about the side 12 cm, a solid cone is formed with a height of 12 cm and radius of the base of 5 cm as shown below.

Volume of a cone having radius 'r', and height 'h', = 1/3πr²h

Radius of the cone, 'r' = 5 cm

Height of the cone, 'h' = 12 cm

Volume of the cone = 1/3πr²h

= 1/3 × π × 5 cm × 5 cm × 12 cm

= 100π cm³

Volume of the cone is 100π cm³.

**Video Solution:**

## 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.

### NCERT Solutions for Class 9 Maths - Chapter 13 Exercise 13.7 Question 7:

**Summary:**

It is given that the right triangle ABC with sides 5 cm, 12 cm and 13 cm is revolved about the side 12 cm. We have found that the volume of the cone 100π cm³.