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The formula for the volume of a cylinder is V = πr^2h, where r is the radius and h is the height.
Given that the volume V is 27,355.68 mm3 and the radius r is 22 mm, we can plug these values into the formula and solve for h:
27,355.68 = 3.14 * 22^2 * h
27,355.68 = 3.14 * 484 * h
27,355.68 = 1520.56 * h
h = 27,355.68 / 1520.56
h = 18 mm
Therefore, the height of the cylinder is 18 mm.