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 of the base,
- \( h \) is the height of the cylinder,
- \( \pi \) can be approximated as 3.14.
Given that the diameter of the cylinder is 8 inches, the radius \( r \) is half of the diameter:
\[ r = \frac{diameter}{2} = \frac{8}{2} = 4 \text{ inches} \]
Now you can plug the values into the volume formula:
\[ V = 3.14 \times (4)^2 \times 12 \]
Calculating \( (4)^2 \):
\[ (4)^2 = 16 \]
Now substitute that back into the equation:
\[ V = 3.14 \times 16 \times 12 \]
Now calculate \( 16 \times 12 \):
\[ 16 \times 12 = 192 \]
Now multiply by \( 3.14 \):
\[ V = 3.14 \times 192 \]
Calculating that gives:
\[ V \approx 601.44 \]
So, the volume of the cylinder is approximately 601.44 cubic inches.