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, \( h \) is the height, and \( \pi \) is approximately 3.14.
First, we need to determine the radius of the cylinder. The diameter is given as 8 inches, so the radius \( r \) is half of that:
\[ r = \frac{\text{diameter}}{2} = \frac{8}{2} = 4 \text{ inches} \]
Next, we can substitute the values into the volume formula:
\[ V = 3.14 \times (4)^2 \times 12 \]
Calculating \( (4)^2 \):
\[ (4)^2 = 16 \]
Now substituting that back into the volume formula:
\[ V = 3.14 \times 16 \times 12 \]
Calculating \( 16 \times 12 \):
\[ 16 \times 12 = 192 \]
Now, substituting that back:
\[ V = 3.14 \times 192 \]
Now calculating \( 3.14 \times 192 \):
\[ 3.14 \times 192 = 602.88 \]
Therefore, the volume of the cylinder is
\[ \boxed{602.88} \text{ cubic inches.} \]
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