Question

A well of diameter 3 m is dug 14 m deep. The soil taken out of it is spread evenly all around it to a width of 5 m to form an embankment. Find the height of the embankment.


Plz I need correct answer

Answer 1

Answer:

Step-by-step explanation:

Height of the well = 14 m

Diameter of the well = 3 m

So, Radius of the well = 3/2 m

Volume of the earth taken out of the well = πr²h

= 22/7*(3/2)²*14

= 99 cu m

Outer radius of the embankment = R = (3/2 + 4)m = 11/2 m

Area of embankment = outer area - inner area

⇒ = πR² - πr²

= 22/7*[(11/2)² - (3/2)²]

= 22/7*[(121/4) - (9/4)]

= 22/7 × 112/4

= 88 m²

Height of the embankment = Volume/Area

= 99/88

Height of the embankment = 1.125 m