9th Class Mathematics Surface Areas and Volumes Question Bank Surface Area and Volume

  • question_answer
    A cylinder has 'r' as the radius of the base and 'V as the height. The radius of base of another cylinder, having triple the volume but the same height as that of the first cylinder must be equal to

    A)  \[\frac{r}{\sqrt{2}}\]                             

    B)  2r

    C)  \[r\sqrt{3}\]    

    D)  \[\sqrt{2r}\]

    Correct Answer: C

    Solution :

    (c): Let the radius of the new cylinder be R then. \[3\pi {{r}^{2}}h=\pi {{R}^{2}}h\] \[\Rightarrow {{R}^{2}}=3{{r}^{2}}\Rightarrow R=\sqrt{3r}=r\sqrt{3}\]                         


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