To calculate the volume of a cylinder, you can use the formula:
\[ V = \pi r^2 h \]
where \( r \) is the radius, and \( h \) is the height of the cylinder.
- First, find the radius. The diameter of the cylinder is 40 mm, so the radius \( r \) is half of that:
\[ r = \frac{40}{2} = 20 \text{ mm} \]
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The height \( h \) is given as 25 mm.
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Now plug the values into the volume formula:
\[ V = \pi (20^2)(25) \]
- Calculate \( 20^2 \):
\[ 20^2 = 400 \]
- Now substitute that back into the volume formula:
\[ V = \pi (400)(25) \]
- Multiply \( 400 \) by \( 25 \):
\[ 400 \times 25 = 10,000 \]
- Therefore, the volume \( V \) is:
\[ V = 10,000 \pi \text{ mm}^3 \]
So, the correct answer is:
10,000π mm³ or 10,000 pi mm cubed.