a well of inner diameter 14 m is dug to a depth of 12 m. Earth taken out of it has been evenly spread all around it to a width of 7 m to form an embankment.find the height of the embankment so formed.
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Answer:
4m
Step-by-step explanation:
Find the amount of earth dug out:
Volume = πr²h
Volume = π(14 ÷ 2)²(12)
Volume = 1848 m³
Find the area of the embankment:
Area = πr₁² - πr₂²
Area = π(7 + 7)² - π(7)²
Area = 462 m²
Find the height:
Volume = Base Area x Height
1848 = 462 x Height
Height = 1848 ÷ 462
Height = 4 m
Answer: The height is 4m
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