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10th Class Mathematics Mensuration Question Bank Mensuration

  • question_answer
    If the curved surface of a cylinder be doubled the area of the ends, then the ratio of its height and  radius is

    A)  2 : 3               

    B)         1 : 1

    C)  2 : 1                 

    D)         1 : 2

    Correct Answer: C

    Solution :

     Let the height and radius of the ends of a cylinder be h and r respectively. Now Curved surface \[=2\times \] Area of the ends \[2\pi rh=2\times (\pi \,{{r}^{2}}+\pi \,{{r}^{2}})\] \[\therefore \]  \[\frac{h}{r}=\frac{2}{1}\] or            \[h:r\,\,::\,\,2:1\]


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