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10th Class Mathematics Mensuration Question Bank Mensuration

  • question_answer
    Consider a hollow cylinder of inner radius r and thickness of wall t and length\[l\]. The volume of the above cylinder is given by

    A)  \[2\pi l({{r}^{2}}-{{l}^{2}})\]       

    B)         \[2\pi rl\left( \frac{1}{2r}+1 \right)\]  

    C)  \[2\pi l({{r}^{2}}+{{t}^{2}})\]     

    D)         \[2\pi l(r+{{t}^{2}})\]

    Correct Answer: B

    Solution :

     Required volume \[=\pi \,\,{{(r+t)}^{2}}\,l-\pi {{r}^{2}}l\] \[=\pi \,l\,(2rt+{{t}^{2}})\] \[=2\,\pi \,r\,lt\left( \frac{t}{2r}+1 \right)\]


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