SSC Sample Paper SSC CGL - Sample Paper-2

  • question_answer
    The slant height of a conical mountain is 2.5 km and the area of its base is \[1.54\,\,k{{m}^{2}}.\] \[\left( \text{take}\,\,\pi =\frac{22}{7} \right)\]The height of the mountain is

    A)  2.2 km            

    B)  2.4 km

    C)  3 km                           

    D)  3.11 km

    Correct Answer: B

    Solution :

    \[\therefore \] \[r=2.5\,km\] and area of base \[=1.54\,k{{m}^{2}}\] \[\therefore \]      \[\pi {{r}^{2}}=1.54\] \[\Rightarrow \]   \[{{r}^{2}}=\frac{1.54\times 7}{22}=0.49\] \[\Rightarrow \]   \[r=0.7\,km\] \[\therefore \]      \[h=\sqrt{{{l}^{2}}-{{r}^{2}}}\] \[=\sqrt{{{(2.5)}^{2}}-{{(0.7)}^{2}}}\]             \[=\sqrt{6.25-0.49}=\sqrt{5.76}=2.4\,km\]

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