Question

a well of radius 2m and depth 10m is dugout and the earth taken out from the well is spread around the well to form an embankment of width of 5m ind the height of embankmen

Answer 1

Answer:

Diameter of well = 2 m

So, radius of well = 1 m

Height = 14 m

Dimensions of embankment =

h = 40 cm or 0.4 m

Radius = ?

Width of embankment = R - r

Volume of earth dug out = Volume of embankment

⇒ 22/7*1*1*14 = 22/7*(R² - 1)*0.4

⇒ 44 = 8.8(R² - 1)/7

⇒ = R² - 1 = (44*7)/8.8

⇒ R² - 1 = 35

⇒ R² = 35 + 1

⇒ R² = 36

⇒ R = 6 m

Now width of embankment = 6 - 1

= 5 m