A 40m Deep Well With Radius 3.5m Is Dug And The Earth Taken Out Is Evenly Spread To Form A Platform Of Dimensions 28m By 22m.Find The Heiht Of The Platform.
the answer h=2.5m
see the similar questions below.
teacher
To find the height of the platform, we need to calculate the volume of the well and divide it by the area of the platform.
First, let's find the volume of the well. The formula for the volume of a cylinder is given by V = πr^2h, where r is the radius and h is the height. In this case, the radius is 3.5m and the height is 40m. Substituting these values into the formula, we get:
V = π * (3.5^2) * 40
V ≈ 1540 cubic meters
Next, let's find the area of the platform. The formula for the area of a rectangle is given by A = length * width. In this case, the length is 28m and the width is 22m. Substituting these values into the formula, we get:
A = 28 * 22
A = 616 square meters
Finally, we can calculate the height of the platform by dividing the volume of the well by the area of the platform:
Height = V / A
Height ≈ 1540 / 616
Height ≈ 2.5 meters
Therefore, the height of the platform is approximately 2.5 meters.