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SSC Sample Paper SSC-CGL TIER - I Sample Test Paper-9

  • question_answer
    A cylindrical rod of iron whose radius is one-fourth of its height is melted and cast into spherical balls of the same radius as that of the cylinder. What is the number of spherical balls?

    A) 2                                 

    B) 3

    C) 4                                 

    D) 5

    Correct Answer: B

    Solution :

    Let r be the radius of the cylindrical rod, its height = 4r its volume = \[\pi \,\,\times \,\,{{r}^{2}}\times 4r=4\pi {{r}^{3}}\] \[\Rightarrow \] volume of the 1 spherical ball = \[\frac{3}{4}\pi {{r}^{3}}\] Number of balls =         \[\frac{Volume\text{ }of\text{ }cylindrical\text{ }rod}{Volume\text{ }of\text{ }1\text{ }ball}\] =         \[\frac{4\pi {{r}^{3}}}{\frac{4}{3}\pi {{r}^{3}}}=\]


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