In a village a well 10m inside diameter, is dug 14m deep . earth taken out of it spread all around to a width of 5 m to form an embankment . find the height of embankment . what value of the villager is reflect here ?
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Answer:Radius of well = 5 m
depth = 14 m
volume of earth taken out = πr² h = π×(5)²×14= 1100 m³
now, it is spread to form embankment, which is in the form of hollow cylinder,
inner radius, r= 5 m
outer radius = 5 +5 = 10 m
height= h
then, 1100 = π×h(10²- 5²)
⇒h = 350/75 = 14/3 = 4.67 m
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