Given :-
Internal Diameter = 40 m
Height of wall = 14 m
Width of embankment = 20 m
To Find :-
Height
Solution :-
Radius = D/2
Radius = 40/2 = 20 m
Now,
Finding soil taken
Volume of soil taken out =Volume of cylinder
= πr²h
22/7 × 20 × 20 × 14
22 × 400 × 2
44 × 400
17600 m³
Now,
R = 20 + 20 = 40 m
r = 20 m
πR²h - πr²h = 17600
π( R² - r² )h = 17600
22(R² - r²)h = 17600 × 7
(R² - r²)h = 5600
{(40)² - (20)²} = 5600
(1600 - 400)h = 5600
(1200h)= 5600
h = 5600/1200
h = 4.66m
Hence :-
Height of embankment is 4.66 m