SSC Sample Paper SSC CGL - Sample Paper-2

  • question_answer
    A metallic hemisphere is melted and recast in the shape if a cone with the same base radius (K) as that of the hemisphere. If H is the height of the cone, then

    A)  \[H=2R\]         

    B)  \[H=\frac{2}{3}R\]

    C)  \[H=\sqrt{3}\,R\]                      

    D)  \[H=3R\]

    Correct Answer: A

    Solution :

    Volume of hemisphere \[=\frac{2}{3}\pi {{R}^{3}}\] \[\therefore \]      \[\frac{1}{3}\pi {{R}^{2}}\times H=\frac{2}{3}\pi {{R}^{3}}\] \[\Rightarrow \]               \[H=2R\]

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