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Manipal Entrance Test 2016 English Paper
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© examsnet.com
Question : 30
Total: 30
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.
4.25
m
2.250
m
1.125
m
1.750
m
Validate
Solution:
Height of the well
=
14
m
Diameter of the well
=
3
m
So, Radius of the well
=
3
2
m
Volume of the earth taken out of the well
=
π
r
2
h
=
22
7
(
3
2
)
2
14
=
99
cu
m
Outer radius of the embankment
=
R
=
(
3
2
+
4
)
m
=
11
2
m
Area of embankment = outer area - inner area
⇒
=
π
R
2
−
Π
r
2
=
22
7
[
(
11
2
)
2
−
(
3
2
)
2
]
=
22
7
[
(
121
4
)
−
(
9
4
)
]
=
22
7
×
112
4
=
88
m
2
Height of the embankment = Volume/Area
=
99
88
Height of the embankment
=
1.125
m
© examsnet.com
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