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Railways Sample Paper RRBs Assistant Loco Pilot and Technician CBT STAGE-I Sample Paper-34

  • 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 \[\left( \text{Take}\,\pi =\frac{22}{7} \right)\]

    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 \[=1.54\,\,k{{m}^{2}}\] \[\pi {{r}^{2}}=1.54\] \[\Rightarrow \]   \[{{r}^{2}}=\frac{1.54\times 7}{22}=0.49\] \[\therefore \]      r = 0.7 km \[\therefore \]      \[h=\sqrt{{{l}^{2}}-{{r}^{2}}}=\sqrt{{{(2.5)}^{2}}-{{(0.7)}^{2}}}\]   \[=\sqrt{625-0.49}=\sqrt{5.76}=2.4\,\,km\]


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