Final answer:
The volume of the cylinder is 678.24 cubic millimeters.
Step-by-step explanation:
The volume of a cylinder can be calculated by using the formula V = πr²h. In this case, the base radius of the cylinder is 12 mm and the height is 50 mm. So, the volume of the cylinder is:
V = 3.142 x (12 mm)² x 50 mm
V = 3.142 x 144 mm² x 50 mm
V = 678.24 mm³
Therefore, the volume of the cylinder is 678.24 cubic millimeters.