Question

a well with 10m inside diameter is dug 14m deep .earth taken out of it is spread all around to a wodth of 5m to form an embankment. Find the height of the embankment.

Answer 1

Given radius of the well = 5 m
Height of the well = 14 m
Width of the embankment = 5 m
Therefore radius of the embankment = 5 + 5 = 10 m
Let h be the height of the embankment
Hence the volume of the embankment = volume of the well 
That is π(R – r)2h = πr2h
(102 – 52) x h = 52 x 14
(100 – 25) x h = 25 x 14
h = (25 x 14)/75 = 14/3
Therefore, h = 4.67 cm (nearly)

Answer 2

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