Explanation:
To find the volume of a cylinder, we use the formula:
Volume = π x radius^2 x height
where π (pi) is a mathematical constant approximately equal to 3.14, radius is half of the diameter, and height is the distance between the two circular bases.
In your case, the diameter of the cylinder is 2, so the radius is half of that, or 1. The height of the cylinder is 1. Substituting these values into the formula, we get:
Volume = π x radius^2 x height
Volume = π x 1^2 x 1
Volume ≈ 3.14 x 1 x 1
Volume ≈ 3.14
Therefore, the volume of the cylinder with diameter 2 and height 1 is approximately 3.14 cubic units, rounded to the nearest hundredth.