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10th Class Mathematics Mensuration Question Bank Mensuration

  • question_answer
    A cone and a cylinder have the same base area. They also have the same curved surface area. If the height of the cylinder is 3m, then the slant height of the cone (in m) is

    A)  3

    B)  4

    C)  6  

    D)  7

    Correct Answer: C

    Solution :

     If r be common radius of the base, h be the height of cylinder, I be the slant height of the cone, then curved surface of the cylinder \[=2\pi \,r\,h\]curved surface of the cone \[=\pi \,r\,l\] Since      \[\pi \,r\,l=2\pi \,rh\] therefore  \[l=2\,h=6m\]


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