We have,
Diameter of well = 10 m
Radius of well = d/2 = 10/2 = 5m
Depth of well = 8.4 m
Volume of earth dug out from well = πr2h
= 22/7 × 5 × 5 × 8.4
= 660 m3
This earth is spread out on width of 7.5 m.
inner radii, r = 5m and outer radii, R = (5+7.5) = 12.5cm
Area × h = 660
π(R2 – r2) h = 660
π(12.52 – 52) h = 660
22/7 (131.25) h = 660
h = 660×7 / 22×131.25
= 4620/2887.5
= 1.6 m
∴ Height of embankment is 1.6m.