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, thus the radius (\( r \)) is half of the diameter: \[ r = \frac{8}{2} = 4 \text{ inches} \]
Now substituting the values into the formula:
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Calculate \( r^2 \): \[ r^2 = 4^2 = 16 \]
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Now substitute \( r \), \( h \), and \( \pi \) into the volume formula: \[ V = 3.14 \times 16 \times 12 \]
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First, compute \( 16 \times 12 \): \[ 16 \times 12 = 192 \]
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Now multiply by \( \pi \): \[ V = 3.14 \times 192 = 602.88 \text{ cubic inches} \]
Thus, the volume of the cylinder is 602.88 cubic inches.