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

`["Assume "pi=22/7]`

The circumference of the base of a cylindrical vessel is 132 cm and its height is 25 cm. Find the

1) radius of the cylinder

2) volume of the cylinder (Use `pi=22/7`)

#### Solution 1

Let the radius of the cylindrical vessel be r.

Height (h) of vessel = 25 cm

Circumference of vessel = 132 cm

2πr = 132 cm

`r = (132xx7)/(2xx22)cm=21cm`

Volume of cylindrical vessel = πr2h

`=[22/7xx(21)^2xx25]cm^3`

= 34650 cm3

`=(34650/1000)litres" "[because" 1 litre "=1000cm^3]`

= 34.65 litres

Therefore, such vessel can hold 34.65 litres of water.

#### Solution 2

`Given circumference = 2πr

`132 = 2 xx 22/7 xxr`

∴ r = 3 x 7 = 21 cm

∴ Radius = 21 cm

2) Volume of cylinder = πr2h

`= 22/7 xx 21xx21xx25`

`= 34.65 litres`