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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 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
      E None of these Correct Answer Incorrect Answer

      Solution

      Volume of the soil dug out = π r 2h ⟹ (22/7) x 10 x 10 x 10) = 1000 π m³. Area of embankment = Area of embankment with well - Area of well = ( x 40 x 40) - ( x 10 x 10 ) = 1500π m² Height of embankment = `(Volume)/(Area)` [if gte msEquation 12]> Volume Area [if !msEquation]-->[endif]--> = (1000 π /1500 π) = 2/3 m.

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