a well with a diameter 8 m is dug 14m deep. earth taken out of it has been spread evenly all around to a width of 3 to form an embankment. find the height of the embankment
Answers
Answer:
Given : Diameter of well = 8m
radius of well (r) = 4m
hight of well = 14 m
width of embankment = 3m
Radius of embankment (R) = (4+3) = 7m
Volume of earth dug out = πr²h
= (22/7)4×4×14
= 704 m³
Area of embankment = π (R² - r²)
= (22/7)(7² -4²)
= (22/7)(49- 16)
= (22/7)(33)
= (726/7) m²
Therefore,
height of embankment = (704)/(726/7)
= (704×7)/(726)
= 4928/726
= 6.78 m