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The circumference of the base of a cylindrical vessel is 132cm and its height is 25 cm . How many liters of water can it hold ?

Answers (1)

D Deependra Verma

Solution: Let the base radius of the cylindrical vessel be $r$ and its height be $h$ .

We have ,

Circumference of the base $=$ 132cm and Height $=$ 25cm

$herefore$ $2pi r = 132$ and $h=25$

$Rightarrow$ $2 imes frac227 imes r=132$ and $h=25$

$Rightarrow$ $r=frac132 imes72 imes22=21$ and $h= 25$

$herefore$ Volume of the vessel $= pi r^2h$

$=frac227 imes(21)^2 imes25 cm^3=34650cm^3$

$= frac346501000litres=34.65litres$ $[ecause 1000cm^3=1 litres]$

Hence , the vessel can hold 34.65 litres of water .

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