Question

A circular well with a diameter of 2m is dug 14m deep The earth taken out is spread in the form of an embankment of height 40cm Find the width of the embankment​

Answer 1

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

Answer =5m