Question 4:
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.
Answer:
The shape of the well will be cylindrical.
Depth (h1) of well = 14 m
Radius (r1) of the circular end of well = 3/2 m
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) as 4+ (3/2) = 11/2 m and inner radius (r1) as 3/2 m.
Let the height of embankment be h2.
Volume of soil dug from well = Volume of earth used to form embankment
Therefore, the height of the embankment will be 1.125 m.
Latest Govt Job & Exam Updates: