Question

A well with 10 m inside diameter is dug 14 m deep. Earth taken out of it and spread all around to a width of 5 m to form an embankment. Find the height of embankment.

Answer 1

GIVEN ; diameter - 10m , so radius = 5 m

height - 14m

therefore : volume of embankment is equal to volume of earth taken out :

πr2h =πr2h ( pie will get cancel )

r2h = r2h

(10)2=(5)2 × h ( 5+5 is 10 that is radius of embankment )

100 = 25 × h

h = 4 m

hope it will help u ....

Answer 2

here's ur answer i hope its correct

height of well =14m
radius of well=5m
volume of well= 22/7. 5. 5.14
1100cm^3
outer radius of embankment= 5+5=10m
inner radius of embankment=5m
since we know that the volume of hollow cylinder is pi( R^2 - r^2) h
therefore volume of well =volume of embankment
1100=22/7(100-25)h
7700/22=75h
350=75h
h=4.7 m