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

  • question_answer
    Directions: Q. 1 to 5
    A farmer has a rectangular field of length 60 m and breadth 30 m. By the farmer a pit of diameter 14 m is dug 12 m deep to make a well. 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) \[1460{{m}^{3}}\]

    B) \[1462{{m}^{3}}\]

    C) \[1848{{m}^{3}}\]

    D) \[1850{{m}^{3}}\]

    Correct Answer: C

    Solution :

    Volume of the earth taken out can be given by the volume of the pit. Given, \[r=\frac{14}{2}=7m\] Volume \[=\pi \times {{\left( 7 \right)}^{2}}\times 12\] \[=\pi \times 49\times 12\] \[=\frac{22}{7}\times 7\times 7\times 12\] \[=1848\,{{m}^{3}}\]


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