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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.
    A 1/3 Correct Answer Incorrect Answer
    B 3/4m Correct Answer Incorrect Answer
    C 1/4 Correct Answer Incorrect Answer
    D 2/3 Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    Volume of the soil dug out = πr2h ⟹ (22)/(7)  x 10 x 10 x 10 = 3,142.85m³. Area of embankment = Area of embankment with well - Area of well =( (22)/(7)  x 40 x 40) - ( (22)/(7)  x 10 x 10 ) = 4,714 m² Height of embankment =(volume)/(area)  = (3142.85)/(4714.3)  = (2)/(3)  m

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