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30/06/2021 1:29 pm
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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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30/06/2021 1:34 pm
Depth (h1) of well = 14 m
Diameter of the circular end of the well = 3 m
Radius (r1) = 3/2 m
Width of the embankment = 4 m
From the figure, it can be said that the embankment will be a cylinder having an outer radius (r2) as 4 + (3/2) = 11/2 m and inner radius (r1) as 3/2m
Now, let the height of embankment be h2
∴ Volume of soil dug from well = Volume of earth used to form embankment
π × r12 × h = π × (r22 - r12) × h2
Solving this, we get,
The height of the embankment (h2) = 1.125 m.