**Given,**

Inner radius of the well = 4 m

Depth of the well = 14 m

We know that,

Volume of the cylinder = π r^{2}h

= π × 4^{2 }× 14 …. (i)

From the question, it’s told that

The earth taken out from the well is evenly spread all around it to form an embankment

And, the width of the embankment = 3 m

So, the outer radius of the well = 3 + 4 m = 7 m

We know that,

Volume of the hollow embankment = π (R^{2} – r^{2}) × h

= π × (7^{2} – 4^{2}) × h …… (ii)

**On equating both the equations (i) and (ii), we get**

π × 4^{2 }× 14 = π × (7^{2} – 4^{2}) × h

h = 4^{2 }× 14 / (33)

h = 6.78 m

**Therefore, the height of the embankment so formed is 6.78 m.**