To find 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, we need to find the radius. The diameter of the cylinder is 8, so the radius \(r\) is:
\[ r = \frac{diameter}{2} = \frac{8}{2} = 4 \]
- Now, we can plug the radius and height into the volume formula. The height \(h\) is given as 12.
\[ V = \pi (4)^2 (12) \]
- Now, calculate \( (4)^2 \):
\[ (4)^2 = 16 \]
- We can now substitute back into the volume formula:
\[ V = \pi \cdot 16 \cdot 12 \]
- Simplifying this gives:
\[ V = 192\pi \]
- Using \( \pi \approx 3.14 \):
\[ V \approx 192 \cdot 3.14 \approx 602.88 \]
Thus, the volume of the cylinder is approximately 603.19 when rounded.
So, the answer is \(603.19\).