An angriculture field is rectangular, with dimensions 100 m by 42 m. A 20 m deep well of diameter 14 m is dug in a corner of the field and the earth taken out is spread evenly over the remaining part of the field.Find the increase in the level of the field

Answer 1

The area of the field is 100m x 42m = 4200 square meters.
The area of the well is 1/4 x π x 14m x 14m = 153.94 square meters.
The volume of earth taken out to dig the well is 20m x 153.94 square meters = 3078.8 cubic meters.
The remaining area of the field is 4200 square meters - 153.94 square meters = 4046.06 square meters.
To find the increase in the level of the field, we need to divide the volume of earth taken out by the new area of the field:
3078.8 cubic meters / 4046.06 square meters = 0.761 meters (rounded to the nearest hundredth).
Therefore, the increase in the level of the field is 0.761 meters (or approximately 2.49 feet).