10th Class Mathematics Areas Related to Circles Question Bank Case Based (MCQs) - Areas Related to Circles

  • question_answer
    Study Case : Q. 31 to 35
    A farmer has a rectangular field of length \[30\,m\] and breadth \[15\,m\]. By the farmer a pit of diameter \[7\,m\] is dug \[12\,m\] deep for rain water harvesting. The earth taken out is spread in the field.      
    Based on the above information, answer the following questions.
    Find the volume of the earth taken out.

    A) \[460\,{{m}^{3}}\]

    B) \[462\,{{m}^{3}}\]

    C) \[465\,{{m}^{3}}\]

    D) \[468\,{{m}^{3}}\]

    Correct Answer: B

    Solution :

    [b] Volume of the earth taken out
    \[=\pi {{\left( \frac{7}{2} \right)}^{2}}\times 12=\frac{22}{7}\times \frac{7}{2}\times \frac{7}{2}\times 12=462{{m}^{3}}\]

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