10th Class Mathematics Mensuration Question Bank Mensuration

  • question_answer
    A rectangular sheet of paper 22 cm long and 12 cm broad can be curved to form the lateral surface of a right circular cylinder in two ways. Taking \[\pi =\frac{22}{7}\], the difference between the volumes of the two cylinders thus formed is

    A)  200 c.c.             

    B)         210 c.c.  

    C)  250 c.c.              

    D)         252 c.c.

    Correct Answer: B

    Solution :

     Difference between the volumes of the two cylinders \[=\left[ \pi r_{1}^{2}{{h}_{1}}-\pi r_{2}^{2}{{h}^{2}} \right]\] \[=\pi \left[ {{\left( \frac{7}{2} \right)}^{2}}\times 12-{{\left( \frac{21}{11} \right)}^{2}}\times 22 \right]\] \[=\frac{22}{7}\times 7\times 7\times 3\left[ 1-\frac{3\times 2}{11} \right]\] \[=210\,c.c.\]


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