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 hight of the platform.

A 40m deep well with radius 3m 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.

2.5 answer this quetion

50m

To find the height of the platform, we need to consider the volume of earth taken out from the well and spread evenly to form the platform.

First, let's find the volume of earth taken out from the well. The well is cylindrical in shape, so the volume can be calculated using the formula:

Volume of a cylinder = π * r^2 * h

where π (pi) is a constant approximately equal to 3.14159, r is the radius of the well, and h is the depth of the well.

In this case, the radius of the well (r) is given as 3.5m, and the depth of the well (h) is given as 40m. Plugging these values into the formula, we get:

Volume of earth taken out = π * (3.5)^2 * 40

Next, we want to find the height of the platform. The volume of earth taken out from the well is spread evenly to form the platform, so the volume of the platform should be the same as the volume of earth taken out.

The platform is in the shape of a rectangular prism with dimensions given as 28m by 22m. The volume of a rectangular prism can be calculated using the formula:

Volume of a rectangular prism = length * width * height

In this case, the length is given as 28m and the width is given as 22m. Let's assume the height of the platform is h (as we are trying to find it). So the equation becomes:

(28)(22)(h) = π * (3.5)^2 * 40

Now, we can solve for h:

h = (π * (3.5)^2 * 40) / (28 * 22)

Using a calculator or a math software, we can evaluate this expression, which gives us the height of the platform.

Note: Make sure to use the same units throughout the calculation (e.g., meters) to ensure accurate results.