10th Class Mathematics Mensuration Question Bank Mensuration

  • question_answer
    A cylinder circumscribes a sphere. The ratio of their volumes is

    A)  1 : 2                                      

    B)  2 : 3  

    C)  3 : 4                      

    D)         5 : 6

    Correct Answer: B

    Solution :

     Let ?r? be radius of sphere. \[\therefore \]  Height of cylinder which circumscribes sphere                 \[=2\times r=2\,r\] Hence, ratio of their volumes                 \[=\frac{4}{3}\,\pi \,{{r}^{3}}:\,\pi {{r}^{2}}(2\,r)=2:3\]


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