Railways Quantitative Aptitude Mensuration Sample Paper Mensuration Sample Test Paper-16

  • question_answer
    A measuring jar of internal diameter 10 cm is partially filled with water. Four equal spherical balls of diameter 2 cm, each are dropped in it and they sink down in the water completely. What will be the increase in the level of water in the jar?

    A)  \[\frac{16}{75}\,\,cm\]  

    B)  \[\frac{16}{51}\,\,cm\]

    C)  15 cm 

    D)  \[\frac{16}{5}\,\,cm\]

    Correct Answer: A

    Solution :

    [a] Let increase in level = h cm \[\therefore \] Volume of increase water = 4x Volume of spherical balls \[\pi {{(5)}^{2}}\times h=\frac{4}{3}\pi ({{11}^{3}}\times 4)\] \[h=\frac{16}{75}\,cm\]


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