a well of diameter 3m is dug 14 m deep.The earth taken out of it has been spread evenly all around it in the shape of circular ring of width 4m to form an embankment .find the height of the embankment .
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h is 150cm
h is 150cm
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Answer:
- Height of the well = 14 m.
- Diameter of the well = 3m.
- Therefore, Radius of the well = 3/2 m.
According to question now :
Volume of the earth taken out of the well = πr²h
=> 22/7 × 3/2 × 3/2 × 14
=> 22 × (3/2)² × 2
=> 44 × 9/4
=> 11 × 9
=> 99 cm.
Outer radius of embankment (R) = (3/2 +4)
=> 11/2 m
Now,
Area of embankment = outer area - inner area
=> πR² - πr²
=> 22/7 [(11/2)² - (3/2)²]
=> 22/7 × 112/4
=> 88 m²
Height of the embankment = Volume / Area
=> 99/88
=> 1.125 m
Therefore, the height of the embankment is 1.125 m
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