Multiple Choice Questions on A cylindrical vessel of radius 30 cm and height 42 cm is full of water Its contents are emptied into........... for SSC CGL Exam Preparation

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    A cylindrical vessel of radius 30 cm and height 42 cm is full of water. Its contents are emptied into a rectangular tub of length

    75 cm and breadth 44 cm. The height (in cm) to which the water rises in the tub is: (Take \pi =_{22}^{7} )    

    This questions was previously asked in
    SSC CGL 4th March 2020 Shift-2

    36

    Correct Answer

    30

    Incorrect Answer

    40

    Incorrect Answer

    45

    Incorrect Answer
    Explanation:

    Volume of the cylindrical vessel  \pi r^{2}h=_{7}^{22}\times 30^{2}\times 42 = 118800

    If we replace the water from the cylindrical vessel to rectangular tub then volume should be equal of the cylindrical vessel rectangular
    tub.
    Volume of the cylindrical vessel = Volume of rectangular tub
    118800 = length x breadth × height 
    118800 = 75  x 44 x height 
    Height = 118800/3300 = 36 cm


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