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SSC Sample Paper SSC CGL - Sample Paper-30

  • question_answer
    The curved surface of a cylindrical pillar is \[264\,{{\text{m}}^{\text{2}}}\] and its volume is \[924\,{{\text{m}}^{\text{2}}}.\] Taking \[\pi =\frac{22}{7},\] the ratio of its diameter to its height is

    A) 7 : 6                             

    B) 6 : 7

    C) 3 : 7                             

    D) 7 : 3

    Correct Answer: D

    Solution :

    Curved surface area of pillar \[=264\,{{m}^{2}}\] \[\therefore \]      \[2\pi rh=264\]                           ...(i) and       value of pillar \[=924\,{{m}^{3}}\] \[\therefore \]      \[\pi {{r}^{2}}h=924\] ?(ii) On solving Eqs. (i) and (ii), we get \[r=7,\] \[h=6\] \[\therefore \] Required ratio\[=\frac{14}{6}=7:3\]


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