A cylindrical well is 15 meters deep and has a diameter of 1.6 meters. Approximately how many cubic meters of soil were dug out to make the well? (Use π = 3.14.) (5 points)
30.14 cubic meters
37.68 cubic meters
120.57 cubic meters
188.40 cubic meters
To find the volume of the soil that was dug out to make the well, we need to calculate the volume of the cylindrical shape.
The formula for the volume of a cylinder is V = π * r^2 * h, where r is the radius and h is the height.
First, let's find the radius of the well. The diameter is given as 1.6 meters, so the radius is half of that, which is 0.8 meters.
Next, we can substitute the values into the volume formula:
V = 3.14 * (0.8)^2 * 15
V = 3.14 * 0.64 * 15
V = 3.14 * 9.6
V = 30.144 cubic meters
Therefore, approximately 30.14 cubic meters of soil were dug out to make the well.