An agricultural field is in the form of a rectangle of length 20m, width 14m. a 10m deep well of diameter 7m is dug in a corner of the field and the earth taken out of the well is spread evenly over the remaining part of the field. Find the rise in its bed.

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1.375m

1.475m

1.575m

1.675m

answer is A.

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Detailed Solution

The well has a diameter of 7m and is dug 10m deep. The shape of the well is cylindrical.
The soil removed from it was spread evenly over the entire agricultural field in the shape of a rectangle with a length of 20m and a width of 14m.
The earth in this well acts as the volume of the well. Thus, the volume of the well is used to determine the height of the field.
Let's take the dimensions of the well.
The diameter is 7m. This means the radius will be halved. So the radius

(r) = 72 m

.
The height of the well is

h = 10 m

The formula of volume of a cylindrical shape is

.
Now we put the values to find the volume of the well which is the amount of earth.
So, volume being
Question Image

This volume of earth has been used to form a layer of earth on the agricultural field.
The volume of that rise is equal to V.
The formula for volume of a cuboid form will be

. Let’s assume the rise of the bed is the p unit.