To find the volume of a cylinder, we use the formula V = πr^2h, where r is the radius and h is the height.
Given that the radius (r) is 12cm and the height (h) is 32cm:
V = π(12)^2(32)
V = π(144)(32)
V = 3.14(4608)
V = 14440.32
Therefore, the volume of the right cylinder is 14,440.32 cubic centimeters.