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,
- and \( \pi \) is approximately 3.14.
Given:
- Height (\( h \)) = 12 inches
- Diameter = 8 inches, so the radius (\( r \)) is half of the diameter, which is \( \frac{8}{2} = 4 \) inches.
Now, substitute the values into the volume formula:
\[ V = 3.14 \times (4^2) \times 12 \]
First, calculate \( 4^2 \):
\[ 4^2 = 16 \]
Now substitute this back into the equation:
\[ V = 3.14 \times 16 \times 12 \]
Next, calculate \( 16 \times 12 \):
\[ 16 \times 12 = 192 \]
Now substitute that back into the equation for volume:
\[ V = 3.14 \times 192 \]
Calculate \( 3.14 \times 192 \):
\[ V = 602.88 \]
Thus, the volume of the cylinder is 602.88 cubic inches.
The correct response is:
602.88 cubic inches.
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