An agriculture field is rectangular with dimensions 100mby42m.a 20m deep well of diameter 14m isdugacorner of the field and earth out is spread evenly over the remaining part the field. Find the increase level of the field?

Answer 1

The area of the field is:

100m x 42m = 4200 sq.m

The area of the well is:

(π x 7²) / 4 x 20 = 1539.38 sq.m (divided by 4 since only a quarter of the circle is within the field)

So, the area of the remaining part of the field is:

4200 - 1539.38 = 2660.62 sq.m

When the earth from the well is spread over the remaining part of the field, the level of the field will increase by:

(1539.38 / 2660.62) x 20m = 11.61m (rounded to two decimal places)

Therefore, the increase in level of the field is 11.61m.