SSC Sample Paper SSC CHSL (10+2) Sample Test Paper-6

  • question_answer
    A right circular cylinder, a hemisphere and a right circular cone stand on the same base and have the same height. The ratio of their volumes is

    A)  3 : 6 : 1                       

    B)  3 : 4 : 1

    C)  3 : 2 : 1           

    D)         4 : 3 : 1

    Correct Answer: A

    Solution :

     If the radius of the hemisphere be r units, then height of cylinder and cone = r units \[\therefore \] Required ratio \[=\pi {{r}^{2}}h:2\pi {{r}^{3}}:\frac{1}{3}\pi {{r}^{2}}h\] \[=\pi {{r}^{3}}:2\pi {{r}^{3}}:\frac{1}{3}\pi {{r}^{3}}\] \[=3\,\,:\,6:1\]


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