MathematicsRain water, which falls on a flat rectangular surface of length 6m and breadth 4m is transferred into a cylindrical vessel of internal radius 20cm. What will be the height of water in the cylindrical vessel if a rainfall of 1cm has fallen? 

Rain water, which falls on a flat rectangular surface of length 6m and breadth 4m is transferred into a cylindrical vessel of internal radius 20cm. What will be the height of water in the cylindrical vessel if a rainfall of 1cm has fallen? 


  1. A
    190 cm
  2. B
    191 cm
  3. C
    180 cm
  4. D
    193 cm  

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    Solution:

    Here, we used the formula:
    Volume of cuboid:
    Volume of cylinder: Let, Length = 600cm and Breadth = 400cm,
    Quantity of water accumulate on rectangular roof is given as:
    Since, there has been a rainfall of 1cm1cm,
    Then, .
       Now, all this water accumulates on the roof is transferred to a cylindrical vessel.
    .
    Substituting values, we get:
     The height of water level in a cylindrical vessel is: 191 cm.  
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