A cylindrical well is 25 meters deep and has a diameter of 1.8 meters. Approximately how many cubic meters of soil were dug out to make the well? (Use t = 3.14.) (5 points)

1 answer

To find the volume of the soil that was dug out to make the well, we need to find the volume of the cylindrical shape. The formula for the volume of a cylinder is:

V = πr^2h

Where V is the volume, π is approximately equal to 3.14, r is the radius, and h is the height.

In this case, the radius is half the diameter, so the radius is 1.8 meters divided by 2, which is 0.9 meters.

The height of the well is given as 25 meters.

Now we can substitute these values into the formula to find the volume:

V = 3.14 * (0.9 meters)^2 * 25 meters

Simplifying:

V = 3.14 * 0.81 meters^2 * 25 meters

V = 63.63 cubic meters

Approximately, 63.63 cubic meters of soil were dug out to make the well.