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A well of diameter 3m is dug 14 m deep. ...

A well of diameter 3m is dug 14 m deep. The earth taken out of it has been spread evenly all around it in the shape of a circular ring of width 4m to form an embankment. Find the height of the embankment.

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Volume of embankment=Volume of earth dig out
`h(pi(r+4)^2-pir^2)=pir^2h`
`h=(r^2h)/((r+h)^2-r)`
`h=((3/2)^2 14)/(((3/2)+4)^2-3/2)`
h=1.125m
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