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.
- Calculate the radius: The diameter of the cylinder is 40 millimeters, so the radius \( r \) is half of the diameter:
\[ r = \frac{40 , \text{mm}}{2} = 20 , \text{mm} \]
- Substitute the radius and height into the volume formula: The height \( h \) is given as 25 millimeters.
\[ V = \pi (20 , \text{mm})^2 (25 , \text{mm}) \]
- Calculate \( r^2 \):
\[ (20 , \text{mm})^2 = 400 , \text{mm}^2 \]
- Multiply everything together:
\[ V = \pi (400 , \text{mm}^2) (25 , \text{mm}) = 10000 \pi , \text{mm}^3 \]
Therefore, the volume of the cylinder is:
\[ 10,000\pi , \text{mm}^3 \]
The correct response is:
10,000π mm³