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.Solution
Volume of the soil dug out =`pir^2h` ⟹(`22/7xx` 10 `xx` 10 `xx` 10) = 3,142.85m³. Area of embankment = Area of embankment with well - Area of well = (`22/7xx` 40 `xx` 40) - (`22/7xx` 10 `xx` 10 ) = 4,714 m² Height of embankment = `(volume)/(Area)` = `3142.85/4714.3` = `2/3` m.
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