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      Question

      A cuboidal water tank with dimensions 32 metres Γ— 22

      metres Γ— 28 metres is filled to 40% of its total capacity . The water is then transferred to a cylindrical tank with a radius of 14 metres . Calculate the height to which the cylindrical tank will be filled. (Use Ο€ = 22/7)
      A 13.4 m Correct Answer Incorrect Answer
      B 12.8 m Correct Answer Incorrect Answer
      C 11.2 m Correct Answer Incorrect Answer
      D 11.8 m Correct Answer Incorrect Answer

      Solution

      Volume of cuboid = length X breadth X height Quantity of water in cuboidal tank = 0.4 X 32 X 22 X 28 = 7884.8 m3 Let the required height of cylindrical tank be 'h' metres. Volume of cylinder = Ο€ X radius2Β X height So, (22/7) X 142Β X h = 7884.8 Or, 616 X h = 7884.8 So, 'h' = 12.8 metres

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