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 3/4 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 =`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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