Question

A 10 meter deep well of diameter 1.4m is dug up in the field and the earth from digging is spread evenly on the adjoining cuboid the length and breadth of that are 55m and 14m respectively find the thickness of earth layer spread​

Answer 1

Answer:

1.125m(approx)

Step-by-step explanation:

The shape of the well will be cylindrical.

Depth (h1) of well = 14 m

Radius (r) of the circular end of well = 3/2 m

Width of embankment = 4 m

As per the question,

Our embankment will be in a cylindrical shape having outer radius (R)as 11/2 m and inner radius (r) = 3/2 m

Let the height of embankment be h2

Volume of soil dug from well = Volume of earth used to form embankment

πr2 × h1 = π × (R2 – r2) × h

⇒ 31.5 = 28 h

⇒ h = 1.125 m