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 determine the radius from the diameter. The diameter is 8 inches, so the radius \( r \) is half of that:
\[ r = \frac{8}{2} = 4 \text{ inches} \]
Now, substitute the values into the volume formula, using \( \pi \approx 3.14 \) and \( h = 12 \) inches:
\[ V = 3.14 \times (4)^2 \times 12 \]
Now calculate \( (4)^2 \):
\[ (4)^2 = 16 \]
So the volume becomes:
\[ V = 3.14 \times 16 \times 12 \]
Now, multiply \( 16 \times 12 \):
\[ 16 \times 12 = 192 \]
Now substitute this value back into the equation:
\[ V = 3.14 \times 192 \]
Finally, calculate \( 3.14 \times 192 \):
\[ V \approx 602.88 \text{ cubic inches} \]
Thus, the volume of the cylinder is approximately 602.88 cubic inches.