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.

he shape of well will be cylindrical.

Depth (h1) of well = 14m

Radius (r1) of circular end of well =

Width of embankment = 4m

From the figure embankment will be in a cylindrical shape having outer radius (r2) as

and inner radius (r1) as

.

Let height of embankment be h2.

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

So, height of embankment will be 1.125 m.