SSC Sample Paper SSC CGL - Sample Paper-17

  • question_answer
    A solid piece of iron of dimensions \[49\times 33\times 24\text{ cm}\] is moulded into a sphere. The radius of the sphere is

    A) 32 cm              

    B) 18 cm

    C) 24 cm              

    D) 21 cm

    Correct Answer: D

    Solution :

    Suppose, r be the radius. \[\frac{4}{3}\pi {{r}^{3}}=49\times 33\times 24\] \[{{r}^{3}}=\frac{3\times {{7}^{2}}\times 3\times 11\times {{2}^{3}}\times 3\times 7}{{{2}^{2}}\times 2\times 11}={{3}^{3}}\times {{7}^{3}}\] \[\therefore \]      \[r=3\times 7=21\,\,\text{cm}\]


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