# The Circumference of the Base of Cylindrical Vessel is 132 cm and Its Height is 25 cm. How Many Litres of Water Can It Hold? - Mathematics

Numerical

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 cm3 = 1l)

["Assume "pi=22/7]

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

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

2) Volume of cylinder = πr2h

= 22/7 xx 21xx21xx25

= 34.65  litres`

Concept: Volume of a Cylinder
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Chapter 13: Surface Area and Volumes - Exercise 13.6 [Page 230]

#### APPEARS IN

NCERT Class 9 Maths
Chapter 13 Surface Area and Volumes
Exercise 13.6 | Q 1 | Page 230
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