How i find the best tricky way for solving the question of class 9^{th} 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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# 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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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 vesselWe know that, circumference of base = 2πr, so

2πr = 132 (given)

r = (132/(2 π))

r = 66×7/22 = 21

Radius is 21 cm

Step 2: Find the volume of vesselFormula: Volume of cylindrical vessel = πr

^{2}h= (22/7)×21

^{2}×25= 34650

Therefore, volume is 34650 cm

^{3}Since,

1000 cm^{3 }= 1LSo, Volume = 34650/1000 L= 34.65L

Therefore, vessel can hold 34.65 litres of water.