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    Question

    A well with 42 m inside diameter is dug 14 m deep. Soil

    taken out of it has been evenly spread all around it to a width of 21 m to form an embankment. Find the height of the embankment. 
    A 2.5 m Correct Answer Incorrect Answer
    B 3.4 m Correct Answer Incorrect Answer
    C 5.2 m Correct Answer Incorrect Answer
    D 4.6 m Correct Answer Incorrect Answer

    Solution

    Volume of the soil dug out = πr²h ⟹(22/7x21 x 21 x 14) = 19,404 m³. Area of embankment = Area of embankment with well - Area of well  = (22/7 x 42 x 42) - (22/7 x 21 x 21) = 4,158 m² Height of embankment = Volume/Area = 19404/4158 = 4.6 m (approx.)

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