A 20m deep well with diameter 14 cm is dug up and the earth taken out from digging is evenly spread out to a width of 3 m to form an embankment. Find the height of the embankment.
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Answer:
The well dug is in the shape of a cylinder.
Radius of the well =
2
20
=10m
Volume of a Cylinder =πR
2
h
Hence, Volume of earth taken out from the well =π×10×10×14=1400πm
3
The embankment would form a circular ring with internal radius same as radius of the well =10m
And external radius =10+5=15m
Area of embankment =π×(15
2
−10
2
)=π×(1510)×(15+10)=125π
Height of the embankment =
Area
Volume
=
125π
1400π
=11.2m
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