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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

    Radius is 21 cm

    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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