7. A well with radius 7 m and and depth 8 m was dug out. The earth taken out of the
well was spread evenly all around it to a width of 21 m to form an embankment.
Find the height of the embankment so formed.
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Answer:
4 m
Step-by-step explanation:
Given, Radius of the well (r) = 7 m.
Height of the well = 12 m.
∴ The volume of the earth taken out of the well = πr²h
= (22/7) * (7)² * 12
= 1848 m³
Given that It has been evenly spread of width 7 m.
Outer radius of the embankment = 14 m.
Now,
Area of embankment = πR² - πr²
= π(R² - r²)
= (22/7)[14² - 7²]
= (22/7)[147]
= 462 m²
∴ Height of the embankment = 1848/462
= 4 m.
Therefore, Height of embankment = 4 m.
Hope it helps!
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