Railways R.R.C. (Hajipur) Solved Paper Held on 1st Shift 30-11-2014

  • question_answer
    12 spheres of the same size are made by melting a solid cylinder of 16 cm diameter and 2 cm height. The diameter of each sphere is?

    A) \[\sqrt{3}\,\,cm\]            

    B) 2 cm

    C) 3 cm                            

    D) 4 cm

    Correct Answer: D

    Solution :

    Let radius of each sphere = r cm Then, \[12\times \frac{4}{3}\,\,\pi {{r}^{3}}=\pi \,\,{{\left( \frac{16}{2} \right)}^{2}}\times 2\] \[16{{r}^{3}}=64\times 2\] \[{{r}^{3}}=8\] \[r=2\,\,cm\]  Hence, the diameter of each sphere = 4 cm


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