A well of diameter 3 m is dug 14 m deep the earth taken out of it has been spread evenly all around it in the shape of a circular ring of width 4 m to form an embankment. Find the height of the embankment

Depth (h1) of well = 14 m
Radius (r1) of the circular end of well = 3/2m

Width of embankment = 4 m
From the figure, it can be observed that our embankment will be in a cylindrical shape having outer radius, (r2)= 4+3/2 = 11/2m

Let height of embankment be h2.
Volume of soil dug from well = Volume of earth used to form the embankment
π×r12×h1=π×(r22−r12)×h2
π × (3/2)2 ×14=π×[11/2]2 – (3/2)2 ×h2
h2 = 9/8 = 1.125m
So, the height of the embankment will be 1.125 m.

Was this answer helpful?

 
   

4.5 (2)

(5)
(3)

Choose An Option That Best Describes Your Problem

Thank you. Your Feedback will Help us Serve you better.

Leave a Comment

Your Mobile number and Email id will not be published.

*

*

close
close

DOWNLOAD

App Now

Ask
Question