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# 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) Q.1

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How i find the best tricky way for solving the question of class 9th of Surface areas and Volumes chapter of question no.1 give me the best and easy method for this question no.1 of exercise 13.6 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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1. Circumference of the base of cylindrical vessel = 132 cm

Height of vessel, h = 25 cm

Let r be the radius of the cylindrical vessel.

Step 1: Find the radius of vessel

We know that, circumference of base = 2πr, so

2πr = 132 (given)

r = (132/(2 π))

r = 66×7/22 = 21

Step 2: Find the volume of vessel

Formula: Volume of cylindrical vessel = πr2h

= (22/7)×212×25

= 34650

Therefore, volume is 34650 cm3

Since, 1000 cm3 = 1L

So, Volume = 34650/1000 L= 34.65L

Therefore, vessel can hold 34.65 litres of water.

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