SSC Sample Paper Mock Test-7 SSC CGL Tear-II Paper-1

  • question_answer
    The base radii of two cylinders are in the ratio 2 : 3 and their heights are in the ratio 5 : 3. The ratio of their volumes is

    A)  27 : 20

    B)  20 : 27

    C)  9 : 4    

    D)  4 : 9

    Correct Answer: B

    Solution :

    \[\frac{\text{Volume}\,\,\text{of}\,\,\text{first}\,\,\text{cylinder}}{\text{Volume}\,\,\text{of}\,\,\text{second}\,\,\text{cylinder}}\] \[=\frac{\pi r_{1}^{2}{{h}_{1}}}{\pi r_{2}^{2}{{h}_{2}}}={{\left( \frac{{{r}_{1}}}{{{r}_{2}}} \right)}^{2}}\times \left( \frac{{{h}_{1}}}{{{h}_{2}}} \right)\] \[={{\left( \frac{2}{3} \right)}^{2}}\times \frac{5}{3}\times \frac{4}{9}\times \frac{5}{3}=20:27\]


You need to login to perform this action.
You will be redirected in 3 sec spinner