Question

A 14 m deep well with inner diameter 10
m is dug and the earth taken out is evenly
spread all around the well to form an em-
bankment of width 5 m. Find the height
of the embankment.​

Answer 1

The height of the embankment​ is 3.5 meter.

Step-by-step explanation:

Given : A 14 m deep well with inner diameter 10 m is dug and the earth taken out is evenly spread all around the well to form an embankment of width 5 m.

To find : The height of the embankment​ ?

Solution :

Diameter of well = 10 m

Radius of well =

Depth of well h= 14 m

Volume of well is given by,

Earth taken out of it is spread all a round to a width of 5 m to form an embankment.

Radius of embankment = 5 m + 5 m = 10 m

Let the height of embankment be h

Volume of well = Volume of embankment

Therefore, the height of the embankment​ is 3.5 meter.