Last updated at Dec. 8, 2016 by Teachoo
Ex 13.6, 1 Assume π = 22/7 , unless stated otherwise. 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) Number of litres of water = Volume of cylinder = 𝜋𝑟2h Here h = 25 cm Let radius = r Now it is given, Circumference of base = 132 cm 2𝜋r = 132 cm 2 × 22/7 × r = 132 r = ((132 × 7)/(2 × 22)) cm ∴ r = 21 cm Number of liters of water = 𝜋𝑟2h = 22/7×21×21×25 cm3 = 22×3×21×25 cm3 = 34650 cm3 = 34650 × (1/1000) litres = 34.65 litres Vessel can hold 34.65 litres
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A boy collects all the rain water falls on a flat rectangle surface of length 6m and breath 4m and transfer it into the cylindrical vessel of internal radius 20cm .what will be the height of the water in the cylindrical vessel, if the rain is 1cm?which value is depicted by boy?