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

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35.46 litres

34.65 litres

345.6 litres

3.456 litres

answer is B.

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Detailed Solution

Given, circumference of the base

= 132

cm and height of the vessel

= 25

cm.
The circumference of the base of the cylinder is given by

2 π r

.
Therefore,

2 π r = 132

r = 132 2 π

r = 66 π

Volume of the cylindrical vessel,

V = π r 2 h

V = π 66 π 2 h

V = 66 × 66 π × 25

V = 66 × 66 × 7 22 × 25

V = 1386 × 25

V = 34650 c m 3

V = 346501000 litres

(1000 cm3= 1L)

V = 34.65

litres
The cylindrical vessel holds 34.65 litres of water.
Therefore, the correct option is 2.

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