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SSC Sample Paper SSC CGL - Sample Paper-19

  • question_answer
    The ratio of the volumes of two cones is 2 : 3 and the ratio of radii of their bases is 1 : 2. The ratio of their heights is

    A) 3 : 8                             

    B) 8 : 3

    C) 4: 3                              

    D) 3 : 4

    Correct Answer: B

    Solution :

    Trick \[\frac{{{r}^{2}}\times {{h}_{1}}}{4{{r}^{2}}\times {{h}_{2}}}=\frac{2}{3}\] \[\Rightarrow \]   \[\frac{{{h}_{1}}}{{{h}_{2}}}=\frac{2}{3}\times \frac{4}{1}\]             \[=\frac{8}{3}=8:3\]


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