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SSC Sample Paper Mock Test-7 SSC CGL Tear-II Paper-1

  • question_answer
    The curved surface of a cylindrical pillar  is \[264\,\,{{\text{m}}^{2}}\] and its volume is \[924\,\,{{\text{m}}^{3}}.\] The ratio of its diameter to its height is \[\left[ \text{use}\,\,\pi =\frac{22}{7} \right]\]

    A)  7 : 6    

    B)  6 : 7   

    C)  3 : 7    

    D)  7 : 3

    Correct Answer: D

    Solution :

    Let the radius of base of cylindrical pillar be r and height be h cm. Then,    \[2\pi rh=264\]                           ...(i) and       \[\pi {{r}^{2}}h=924\]                         ...(ii) On dividing Eq. (ii) by Eq. (i), we get \[\frac{\pi {{r}^{2}}h}{2\pi rh}=\frac{924}{264}\] \[\Rightarrow \]   \[r=\frac{2\times 924}{264}=7\] From Eq. (i), \[2\pi \times 7\times h=264\] \[\Rightarrow \]   \[h=\frac{264\times 7}{2\times 22\times 7}=6\] \[\therefore \] Required ratio \[=2\times 7:6=7:3\]


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