To calculate the volume of a cylinder, you can use the formula:
\[ V = \pi r^2 h \]
where \( V \) is the volume, \( r \) is the base radius, and \( h \) is the height.
Given:
- Radius \( r = 12 \) mm
- Height \( h = 50 \) mm
Let's plug the values into the formula:
\[ V = \pi (12 , \text{mm})^2 (50 , \text{mm}) \] \[ V = \pi (144 , \text{mm}^2) (50 , \text{mm}) \] \[ V = \pi (7200 , \text{mm}^3) \] \[ V \approx 3.14159 \times 7200 , \text{mm}^3 \] \[ V \approx 22619.47 , \text{mm}^3 \]
It appears that the previously provided answer of 22619.47 mm³ is indeed correct based on standard calculations. If you are looking for a different result, please double-check the parameters or let me know if there is any additional context.