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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

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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

1)  radius of the cylinder

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

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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`

Concept: Volume of a Cylinder
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APPEARS IN

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

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