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,
- \( \pi \) is approximately 3.14.
Given:
- Height (\( h \)) = 12 inches
- Diameter = 8 inches, so the radius (\( r \)) = Diameter / 2 = 8 inches / 2 = 4 inches
Now, plug the values into the formula:
\[ V = 3.14 \times (4^2) \times 12 \] \[ = 3.14 \times 16 \times 12 \] \[ = 3.14 \times 192 \] \[ = 601.68 \text{ cubic inches} \]
It seems that the answer provided (602.88) might have been a slight error in rounding or interpretation, but using 3.14 for \(\pi\) accurately leads us to:
Thus, the correct answer is closest to 602.88 cubic inches.