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Question

The circumference of the base of cylindrical vessel is 132cm and its height is 25cm. How many litres of water can it hold? 1000cm3=1L (Assume π=227)


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Solution

Step 1: Find the radius

Given,

Circumference of the base of a cylindrical vessel =132cm

Height of vessel, h=25cm

The base of the cylinder is of a circle shape,

circumference =2πr (r is the radius)

2πr=132r=1322πr=66×722r=21cm

Radius is 21cm.

Step 2: Find the capacity

The volume of a cylinder =2πrh

=2×227×21×21×25=485100cm3

Therefore, volume is 485100cm3

We know that, 1000cm3=1L

So, Volume =4851001000L=485.1L

Therefore, the vessel can hold 485.1litres of water.


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