To find the volume \( V \) of a cylinder, you can use the formula:
\[ V = \pi r^2 h \]
where:
- \( r \) is the radius,
- \( h \) is the height,
- \( \pi \) is approximately 3.14.
Given:
- The diameter of the cylinder is 8 inches, so the radius \( r \) is half of the diameter:
\[ r = \frac{8}{2} = 4 \text{ inches} \]
- The height \( h \) is 12 inches.
Now substituting the values into the volume formula:
\[ V = 3.14 \times (4^2) \times 12 \]
Calculating \( 4^2 \):
\[ 4^2 = 16 \]
Now substituting back into the equation:
\[ V = 3.14 \times 16 \times 12 \]
Calculating \( 16 \times 12 \):
\[ 16 \times 12 = 192 \]
Now calculating \( 3.14 \times 192 \):
\[ V = 3.14 \times 192 = 602.88 \]
Therefore, the volume of the cylinder is
\[ \boxed{602.88} \text{ cubic inches.} \]