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SSC Sample Paper Mock Test-3 SSC CGL Tear-II Paper-1

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

    A)  2.2 km            

    B)  2.4 km

    C)  3 km                           

    D)  3.11 km

    Correct Answer: B

    Solution :

    Area of the base of mountain\[=\pi {{r}^{2}}\] \[1.54=\frac{22}{7}{{r}^{2}}\] \[\Rightarrow \]                           \[\frac{1.54\times 7}{22}={{r}^{2}}\] \[\Rightarrow \]                           \[0.49={{r}^{2}}\] \[\therefore \]                              \[r=0.7\,\,km\]                                                                                       Slant height = 25 km \[\therefore \]Height of the mountain\[=\sqrt{{{(2.5)}^{2}}-{{(0.7)}^{2}}}\]                                                 \[=\sqrt{625-0.49}\] \[=\sqrt{5.76}=2.4\,\,km\]


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