Ex 13.6, 1 - The circumference of base of a cylindrical - Ex 13.6

  1. Chapter 13 Class 9 Surface Areas and Volumes
  2. Serial order wise
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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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