ANSWER -
The formula for the volume of a cylinder is:
V = πr^2h
where r is the radius and h is the height of the cylinder. We can find the radius of the cylinder by dividing the diameter by 2:
r = d/2 = 32/2 = 16 cm
Substituting the given values into the formula, we get:
V = π(16 cm)^2(18 cm) ≈ 9,101.31 cm^3
Rounding to the nearest hundredth, the volume of the cylinder is approximately 9,101.31 cubic centimeters.