To find the volume of a cylinder, we can use the formula:
\[ V = \pi r^2 h \]
where:
- \( V \) is the volume,
- \( r \) is the radius of the cylinder,
- \( h \) is the height of the cylinder, and
- \( \pi \) is approximately 3.14.
Given:
- Diameter = 8 inches, so the radius \( r = \frac{8}{2} = 4 \) inches.
- Height \( h = 12 \) inches.
Now, substituting the values into the formula:
\[ V = 3.14 \times (4)^2 \times 12 \]
Calculating \( (4)^2 \):
\[ (4)^2 = 16 \]
Now substituting this value into the volume formula:
\[ V = 3.14 \times 16 \times 12 \]
Calculating \( 16 \times 12 \):
\[ 16 \times 12 = 192 \]
Now, substituting back into the volume formula:
\[ V = 3.14 \times 192 \]
Calculating \( 3.14 \times 192 \):
\[ 3.14 \times 192 = 602.88 \]
Therefore, the volume of the cylinder is:
\[ \boxed{602.88} \text{ cubic inches} \]
The correct answer is option 1: 602.88 cubic inches.