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 of the cylinder.
- First, we need to find the radius \( r \). The diameter of the cylinder is given as 40 millimeters, so the radius is:
\[ r = \frac{\text{diameter}}{2} = \frac{40 \text{ mm}}{2} = 20 \text{ mm} \]
- Next, plug 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 \( (20 \text{ mm})^2 \):
\[ (20 \text{ mm})^2 = 400 \text{ mm}^2 \]
- Now substitute back into the volume formula:
\[ V = \pi (400 \text{ mm}^2)(25 \text{ mm}) \]
- Calculate \( 400 \text{ mm}^2 \times 25 \text{ mm} \):
\[ 400 \text{ mm}^2 \times 25 \text{ mm} = 10000 \text{ mm}^3 \]
- Finally, multiply by \( \pi \):
\[ V = \pi \times 10000 \text{ mm}^3 \approx 31415.93 \text{ mm}^3 \quad (\text{using } \pi \approx 3.14159) \]
Thus, the volume of the cylinder is approximately:
\[ V \approx 31415.93 \text{ mm}^3 \]
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