a well with 14 m inside diameter is dug 10 deep..., Area & Volume, General Mathematics

Question:A well with `14` m inside diameter is dug `10` m deep. Earth taken out of it has been evenly spread all around it to a which of `21` m to form n embankment. The height of the embankment is :

A `1/2 m` 
B `2/3 m` 
C `3/4 m` 
D 3/5 m`

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+ AnswerB

+ ExplanationVolume of earth dug out 

`= (22/7 xx 7 xx 10) m^2`

`= 1540 m^2.

Area of embankment 

`= 22/7 xx [(28)^2 - (7)^2]`

`= (22/7 xx 35 xx 21) m^2`

`= 2310 m^2`

Height of embankment

`((volume)/(Area))`

`= (1540/2310) m`

`= 2/3 m.`

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