# The circumference of the base of a cylindrical vessel is 132 cm and its height is 25 cm. How many litres of water can it hold? (1000 cm^{3} = 1 l)

**Solution:**

Since the base of a cylindrical vessel is a circle, so its radius can be easily obtained using the circumference = 2πr

The volume of a cylinder of base radius, r and height, h = πr^{2}h

Let the radius of the base be 'r'

Height of the cylinder, 'h' = 25 cm

Circumference of the base = 132 cm

2πr = 132 cm

r = 132 / 2π

= (132 / 2) × (7 / 22)

= 21 cm

The capacity of the cylindrical vessel = πr^{2}h

= 22/7 × 21 cm × 21 cm × 25 cm

= 34650 cm^{3}

= 34650/1000 (Since 1000 cm^{3} = 1 L)

= 34.65 L

**Video Solution:**

## The circumference of the base of a cylindrical vessel is 132 cm and its height is 25 cm. How many litres of water can it hold? (1000 cm³ =1 l)

### Class 9 Maths NCERT Solutions - Chapter 13 Exercise 13.6 Question 1:

**Summary:**

It is given that the circumference of the base of a cylindrical vessel is 132 cm and its height is 25 cm. We have found that the capacity of the cylindrical vessel is 34.65 litres.