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.
- First, find the radius. The diameter is given as 40 millimeters, so the radius \( r \) will be:
\[ r = \frac{diameter}{2} = \frac{40 , mm}{2} = 20 , mm \]
- Now plug the radius and height into the volume formula. The height \( h \) is given as 25 millimeters:
\[ V = \pi (20 , mm)^2 (25 , mm) \]
- Calculate \( (20 , mm)^2 \):
\[ (20 , mm)^2 = 400 , mm^2 \]
- Now calculate the volume:
\[ V = \pi (400 , mm^2)(25 , mm) \]
\[ V = \pi (10,000 , mm^3) \]
So, the volume is:
\[ V = 10,000 \pi , mm^3 \]
Thus, the correct answer is:
10,000π mm³ (or 10,000 pi mm cubed).