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Railways Quantitative Aptitude Mensuration Sample Paper Mensuration Sample Test Paper-16

  • question_answer
    The diameters of two cones are equal and their slant heights are in the ratio 5 : 4. If the curved surface of the larger cone is \[200\,\,c{{m}^{2}},\] then the curved surface of the larger cone is

    A)  \[240\,\,c{{m}^{2}}\] 

    B)  \[250\,\,c{{m}^{2}}\]

    C)  \[260\,\,c{{m}^{2}}\] 

    D)  \[280\,\,c{{m}^{2}}\]

    Correct Answer: B

    Solution :

    [b] Let radius = r Slant height = 5x, 4x \[\therefore \] Curved surface area of smaller cane \[=\pi r\times 4x\] \[4\pi \,r\,x=200\] \[\pi \,r\,x=50\] \[\therefore \] Curved surface area of larger cane \[=\pi r\times 5x\] \[=5\pi \,r\,x=5\times 50\] \[=250\,c{{m}^{2}}\]


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