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Asked by Manoj Shukla

Mar 13, 2014

A well with inside diameter of 10m is dug 14m deep

A well with inside diameter of 10m is dug 14m deep. Earth is taken out of it is spread all round to a width of 5m to form a embankment. find the height of the embankment.

Answers(3)

Answer

Agam Gupta

Member since Sep 21, 2013

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

Kopal

Member since

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 or 5cm nearly

Kishore Kumar

Member since

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)
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