A landowner digs a 15 meter deep well with a diameter of 2.8 meters. The landowner spreads the dirt dug out of the holds to form a flat platform 31.5 meters by 6 meters. What is the length of the platform?

The length of the platform is 31.5 meters.

To find the length of the platform, we need to calculate it based on the dimensions given and calculate the length of the dirt spread out from the well.

The well has a diameter of 2.8 meters, so the radius is half of that, which is 1.4 meters. The landowner dug the well 15 meters deep. Assuming the dirt spread out evenly on the platform, we can calculate the length of the dirt spread out as follows:

The volume of a cylinder (the dirt in the well) is given by the formula V = π * r^2 * h, where π is approximately 3.14159, r is the radius, and h is the height.
Therefore, the volume of dirt is V = 3.14159 * (1.4 meters)^2 * 15 meters.

Next, we need to calculate the area of the platform. The length and width are given as 31.5 meters and 6 meters. Therefore, the area of the platform is A = length * width = 31.5 meters * 6 meters.

Since the dirt is spread evenly on the platform, the length of the platform will be equal to the amount of dirt spread out divided by the width of the platform. Therefore, the length of the platform is given by:

Length of the platform = Volume of dirt / Width of the platform = (3.14159 * (1.4 meters)^2 * 15 meters) / 6 meters.

Now we can calculate the length of the platform using the above formulas:
Length of the platform = (3.14159 * (1.4 meters)^2 * 15 meters) / 6 meters.

Calculating this expression gives us the length of the platform.

volume of cylindrical well

= π(1.4)^ (15) = 29.4π cubic metres.

confused about the platform.
When you state the platform as
"31.5 m by 6 m" , aren't you giving us the length?

Is the platform a rectangle, where you gave the length and width and we have to find the height ?