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      Question

      Water flows at the rate of 10 meter per minute from a

      cylindrical pipe 5mm in diameter. How long it takes to fill up a conical vessel whose diameter at the base is 30cm and depth 24cm.
      A 28.8minute Correct Answer Incorrect Answer
      B 25.6min Correct Answer Incorrect Answer
      C 18.8min Correct Answer Incorrect Answer
      D 8.6min Correct Answer Incorrect Answer

      Solution

      let the radius of cylindrical tank =R =30/2=15cm, and height =H=24cm Given- speed of flow= 10m = 1000cm Diameter of base of cylindrical pipe = 5mm Radius =2.5mm = .25cm Now- Area of base ×speed of flow × time = Volume of the cylindrical tank   .25×.25×1000×t=1/3 ×15×15×24 t = 144/5 =28.8minute t=28minute 48second.

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