a well with 10m inside diameter is dug 14m deep. Earth taken out of it is spread all around it to make an embankment of height 4 2/3 m. find the width of the embankment
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9th
Maths
Surface Areas and Volumes
Surface Area of Right Circular Cylinders and Cones
A well with 10 m inside dia...
MATHS
A well with 10 m inside diameter is dug 14 m deep. Earth taken out of it is spread all around to a width of 5 m to form an embakment, the height of the embankment is ________.
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Well with 10m diameter is dug 14m deep.
⇒ Cylindrical radius =
2
10
=5m
Volume =πr
2
h
=
7
22
×5×5×14
=1100 cubic meter
Is taken out and spread width of 5m.
( diagram )
⇒R
1
=5+5=10m
r=5m
⇒V=π(R
2
−r
2
)h
1100=
7
22
(10
2
−5
2
)h
350=(100−25)h
h=
75
350
=
3
14
⇒h=4.66m
Hence, the answer is 4.66m.
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a well wil 10m inside diameter is dug 14m deep.
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