The formula for the volume of a cylinder is V = πr^2h, where r is the radius and h is the height. Since the diameter is given, we can find the radius by dividing it by 2:
radius = diameter / 2 = 12 mm / 2 = 6 mm
Now we can plug in the values for r and h and use π ≈ 3.14 to find the volume:
V = πr^2h
V = 3.14 × 6^2 × 18
V ≈ 2035.44
Rounding to the nearest hundredth, we get:
V ≈ 2035.44 cubic millimeters