8th Class Mental Ability Mensuration Question Bank Mensuration

  • question_answer
    A hollow iron pipe is 21 cm long and its external diameter is 8 cm. Sf the thickness of the pipe is 1 cm and iron weighs \[\mathbf{8}\text{ }\mathbf{g}/\mathbf{c}{{\mathbf{m}}^{\mathbf{3}}}\], then the weight of the pipe is:

    A) 3.6 kg                  

    B)       3.696 kg

    C) 36 kg                  

    D)         36.9 kg

    E) None of these

    Correct Answer: B

    Solution :

    Explanation Option [b] is correct. External radius \[=4\text{ }cm.\] Internal radius \[=3\text{ }cm,\] Volume of iron = \[\left( \frac{22}{7}\times [{{\left( 4 \right)}^{2}}-{{\left( 3 \right)}^{2}}]\times 21 \right)c{{m}^{3}}=\left( \frac{22}{7}\times 7\times 21 \right)c{{m}^{3}}=462\,c{{m}^{3}}\] \[\therefore \] Weight of iron \[=\left( 462\times 8 \right)gm=3696\text{ }gm=3.696\text{ }kg\]


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