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    Question

    A well with 20 m inside diameter is dug 10 m deep. Soil

    taken out of it has been evenly spread all around it to a width of 30 m to form an embankment. Find the height of the embankment.┬а
    A 1/3 m Correct Answer Incorrect Answer
    B 3/4 m Correct Answer Incorrect Answer
    C 1/4 m Correct Answer Incorrect Answer
    D 2/3 m Correct Answer Incorrect Answer

    Solution

    Volume of the soil dug out = ╧Аr2h тЯ╣( (22)/(7) x 10 x 10 x 10) = 3,142.85m┬│. Area of embankment = Area of embankment with well - Area of well = ( x 40 x 40) - (┬а x 10 x 10 ) = 4,714 m┬▓┬а Height of embankment = (Volume)/(Area)┬а = (3142.85)/(4714.3)┬а = (2)/(3)m.

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