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Questions
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`)
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`
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