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 radius, and \( h \) is the height.
- Find the radius: The diameter of the cylinder is 40 millimeters, so the radius \( r \) is half of that:
\[ r = \frac{d}{2} = \frac{40 , \text{mm}}{2} = 20 , \text{mm} \]
- Substitute the values into the volume formula:
- Height \( h = 25 , \text{mm} \)
- Radius \( r = 20 , \text{mm} \)
\[ V = \pi (20 , \text{mm})^2 (25 , \text{mm}) \] \[ V = \pi (400 , \text{mm}^2) (25 , \text{mm}) \] \[ V = \pi (10,000 , \text{mm}^3) \]
Thus, the volume of the cylinder is:
\[ V = 10,000\pi , \text{mm}^3 \]
The correct response is 10,000π mm³.