A well of diameter 3m is dug 14 m deep The earth taken out of it has been spread evenly all around i...........

Quantitative Aptitude ( CCS) Geometry

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

4.25 m

2.25 m

1.125 m

1.750 m

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Explanation:

Let the radius and height of the well be r and h respectively.
Volume of the earth dug out = Volume of the embarkment
πr²h = Area of the earth spread all around the well x height of the embarkment = π {(r + 4)² – r²} x height of the embarkment
Height of embankment =