8th Class Mathematics Mensuration Question Bank Mensuration

  • question_answer Two circular cylinders of equal volume have their heights in the ratio 9 : 16 Find the ratio of their radii

    A)  4 : 3       

    B)  5 : 6           

    C)  2 : 5                            

    D)  5 : 7

    Correct Answer: A

    Solution :

    (a): Let height be \[9x\] and \[16x\] Radii be \[{{y}_{1}}\]and \[{{y}_{2}}\] Since vol. is same, \[\pi {{y}_{1}}^{2}.9x=\pi {{y}_{2}}^{2}.16x\] \[\Rightarrow {{\left( \frac{{{y}_{1}}}{{{y}_{2}}} \right)}^{2}}=\frac{16}{9}\Rightarrow \frac{{{y}_{1}}}{{{y}_{2}}}=4/3=4:3\].         


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