The volume \( V \) of a cylinder can be calculated using the formula:
\[ V = \pi r^2 h \]
where \( r \) is the radius of the base and \( h \) is the height of the cylinder.
Given:
- \( r = 12 \) mm
- \( h = 50 \) mm
Now, substituting the values into the formula:
\[ V = \pi (12 , \text{mm})^2 (50 , \text{mm}) \] \[ V = \pi (144 , \text{mm}^2) (50 , \text{mm}) \] \[ V = \pi (7200 , \text{mm}^3) \] \[ V \approx 3.14 \times 7200 , \text{mm}^3 \] \[ V \approx 22608 , \text{mm}^3 \]
Thus, the volume of the cylinder is approximately 22608 mm³.
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