The radius of the cylinder is half of the diameter, so the radius is 18 cm / 2 = 9 cm.
The formula to find the volume of a cylinder is V = πr^2h, where r is the radius and h is the height.
Plugging in the values:
V = 3.14 * 9^2 * 7
V = 3.14 * 81 * 7
V = 3.14 * 567
V = 1783.38
Therefore, the volume of the right cylinder is 1783.38 cubic centimeters.