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To find the volume of a cylinder, use the formula V = Οr^2h, where V is the volume, r is the radius, and h is the height.
Given:
Radius (r) = 6mm
Height (h) = 9mm
Substituting the values into the formula:
V = Ο * 6^2 * 9
V = Ο * 36 * 9
V = 1017.36 mm^3
Therefore, the volume of the cylinder is 1017.36mm^3.
The correct answer is option B. 1017.36mm^3.