A well of diameter 3 m 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 4 m to form an embankment. Find the height of the embankment.

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Solution

The shape of the well will be cylindrical.

Depth (h₁) of well = 14 m

Radius (r₁) of the circular end of well =

Width of embankment = 4 m

From the figure, it can be observed that our embankment will be in a cylindrical shape having outer radius (r₂) as and inner radius (r₁) as.

Let the height of embankment be h₂.

Volume of soil dug from well = Volume of earth used to form embankment

Therefore, the height of the embankment will be 1.125 m.

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