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 find the radius of the cylinder. The radius is half of the diameter:
\[ r = \frac{diameter}{2} = \frac{8 \text{ inches}}{2} = 4 \text{ inches} \]
Now, plug in the values into the formula with \( h = 12 \) inches and \( \pi \approx 3.14 \):
\[ V = 3.14 \times (4 \text{ inches})^2 \times 12 \text{ inches} \]
Calculate \( (4 \text{ inches})^2 \):
\[ (4 \text{ inches})^2 = 16 \text{ square inches} \]
Now substitute that back into the volume formula:
\[ V = 3.14 \times 16 \text{ square inches} \times 12 \text{ inches} \]
Now multiply:
\[ V = 3.14 \times 192 \text{ cubic inches} \]
Calculating that gives:
\[ V = 602.88 \text{ cubic inches} \]
Therefore, the volume of the cylinder is 602.88 cubic inches.
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