Latest TCS Aptitude Question SOLUTION: A well with 14 m inside diamet er is dug 10 m deep. Earth tak en out of it has been evenly spread all around it to a w idth of 21 m to fo rm an embank ment. The height of the e

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A well with 14 m inside diamet er is dug 10 m deep. Earth tak en out of it has been
evenly spread all around it to a w idth of 21 m to fo rm an embank ment. The height of
the embank ment is:
(a) 1/2 m (b) 2/3 m (c) 3/4 m (d) 3/5 m

Asked In TCS vishnupriya.O (11 years ago)

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sainath  (11 years ago)

the volume of sand dig out(volume of well)=volume of embankment formed which is of a hallow cylindrical shape
usually both are cylindrical in shape so volume= pi* radius^2* height(or depth)
since width(radius) of embankment which is out side the well=21
so total radius of cone formed by embankment=21+7(that is inside well)=28
=>pi*7*7*10=[(pi*28*28*h)-(pi*7*7*h)]
=>490=h*(28^2-7^2)
=>h=490/[(7*4)^2-7^2]
=>h=490/[7^2*(4^-1)]
=>h=490/[49*15]
=>h=10/15=2/3 mts...
so option (b)...

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shyamlesh dash  (11 years ago)

http://www.emathzone.com/tutorials/geometry/hollow-circular-cylinder.html

read this was a great help

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maestro  (11 years ago)

total earth dug=14*10=140

21 earth=1/10m
140 earth=?

14/21=2/3
B

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