Q. 13

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

Answer :

Given: diameter of well = 3 m

Depth of well = 14 m

Width of embankment = 4 m

To find: Height of embarkment.

Formula Used:

volume of the cylinder = πr2h


Height of the well = 14 m

Diameter of the well = 3 m

So, radius =

Let height of embankment be “h” m.

As earth is taken out from the well and has been spread to make a cylindrical embankment,

Volume of the earth taken out = volume of the well = πr2h

Volume of the earth taken out = πr2h


Outer radius of the embankment = R

Area of the embankment = Outer area – Inner area

= πR2 -πr2

= π(R2 -r2)

Height of the embankment =

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