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 = 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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