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Q.

1. The circumference of the base of cylindrical vessel is 132cm and its height is 25cm. How many litres of water can it hold? (1000 cm3= 1L) (Assume π = 22/7)

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Detailed Solution

Given: height, h = 25 cm and circumference of the base = 132 cm

We know that the volume of a cylinder = πr2h

First, we need to find the radius, r

We know that base of the cylinder is a circle, and the formula to find the circumference of the base = 2πr.

Using values, we have

2πr = 132 cm

r = 132 / 2π

= (132 / 2) × (7 / 22)

= 21 cm

Now we will substitute all these values in the formula of the volume of a cylinder, 

= 22/7 × 21× 21 × 25 = 34650 cm3

Now as we know, 1000 cm3 = 1 L

The capacity of vessel = 34650/1000 = 34.65 L

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