To find the volume of a cylinder, we 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 \( r = \frac{8}{2} = 4 \) inches
Now, we can substitute the values into the formula:
\[ V = 3.14 \times (4)^2 \times 12 \]
First, calculate \( (4)^2 \):
\[ (4)^2 = 16 \]
Now substitute that back into the volume formula:
\[ V = 3.14 \times 16 \times 12 \]
Next, calculate \( 16 \times 12 \):
\[ 16 \times 12 = 192 \]
Now, multiply \( 192 \times 3.14 \):
\[ V = 192 \times 3.14 = 602.88 \]
Thus, the volume of the cylinder is \( \mathbf{602.88} \) cubic inches.
The correct response is 602.88 cubic inches.
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