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.
Given:
- Height \( h = 12 \) inches
- Diameter = 8 inches, so the radius \( r = \frac{8}{2} = 4 \) inches
Now, substituting the values into the volume formula:
\[ V = 3.14 \times (4)^2 \times 12 \]
Calculating \( (4)^2 \):
\[ (4)^2 = 16 \]
Now substituting back into the equation:
\[ V = 3.14 \times 16 \times 12 \]
Calculating \( 16 \times 12 \):
\[ 16 \times 12 = 192 \]
Now, multiplying this by \( 3.14 \):
\[ V = 3.14 \times 192 = 601.44 \]
So the volume of the cylinder is \( 602.88 \) cubic inches (rounded appropriately).
Therefore, the response is:
602.88 cubic inches
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