A well of diameter 3 m is dug 14 m deep. The earth taken out of it has been spread evenly all around it to a width of 4 m to form an embankment. Find the height of the embankment.
Let the height of the embankment be ‘h’ m
Radius of well
=1.5 m
Height of the well =14m
Volume of earth dug out (volume of cylinder)
=99 m3
Outer Radius of the embankment(R) =1.5 m + 4 m
=5.5 m
Inner radius of the embankment(r) =1.5 m
Volume of embankment =Volume of earth dug out
Volume of embankment
= 27.5πh
Volume of embankment =Volume of earth dug out
⇒ 27.5h = 99
⇒ h = 9/8 = 1.125 m