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.

Internal Diameter = 40 m

Height of wall = 14 m

Width of embankment = 20 m

Height

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

Height of embankment is 4.66 m

answer: the equation matches the regression

step-by-step explanation: