A well with 40 m internal diameter is dug 14 m deep. The soil taken out is spread all around to a width of
20 m to form a circular embankment, find the height of the embankment.
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A well with 40 m internal diameter is dug 14 m deep. The soil taken out is spread all around to a width of
20 m to form a circular embankment, find the height of the embankment.
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Given:-
To Find:-
Formulae used:-
Now,
→ Radius of well = 40/2 = 20m
→ Height of well = 14m
→ Volume of soil taken out = πr²h
→ 22/7 × 20 × 20 × 14
→ 22 × 400 × 2
→ 17600m³ is taken out to made a embankment of width 20m
→ R = 20 + 20 = 40
→ r = 20m
Therefore,
→ πR²h - πr²h = 17600
→ π( R² - r² )h = 17600
→ 22(R² - r²)h = 17600 × 7
→ (R² - r²)h = 5600
→ ((40)² - (20)²)h = 5600
→ (1600 - 400)h = 5600
→ 1200h = 5600
→ h = 5600/1200
→ h = 56/12
→ h = 4.66m
Hence, The Height of embankment is 4.66m
** See the attachment for better understanding*