A 10 m deep well with diameter 1.4 m is dug up in a field and the earth from digging is spread up evenly on the adjoining rectangular field. The length and breadth of the field are 55 m and 14 m respectively. Find the thickness of the earth layer spread

Explanation

Radius of the well `=(1.4)/2m = 0.7m`
Depth (i.e. height) of the well = 10 m
Volume of the earth dug from the well = Volume of the cylinder (`therefore` the well is cylindrical in shape)
`=pir^2h=(22)/7xx0.7xx0.7xx10=15.4m^3`
Area of the rectangular field `=lxxb=55xx14 = 770 m^2`
Let the thickness (i.e height)n of the earth layer spread be h m
Then the volume of the earth spread on the field
= area on which the earth is spread` xxh`
`therefore15.4=770xxh" "thereforeh=(15.4)/(770)`
`thereforeh=0.02m=2m`
The thickness of the earth layer spread is 2 cm