To find the volume of the cylinder, we can use the formula for the volume of a cylinder:
\[ V = \pi r^2 h \]
where \( V \) is the volume, \( r \) is the radius, and \( h \) is the height.
- Calculate the radius: The diameter of the cylinder is 8 inches, so the radius \( r \) is half of the diameter:
\[ r = \frac{d}{2} = \frac{8}{2} = 4 \text{ inches} \]
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Use the height: The height \( h \) is given as 12 inches.
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Substitute the values into the volume formula:
\[ V = 3.14 \times (4^2) \times 12 \]
Calculating \( r^2 \):
\[ r^2 = 4^2 = 16 \]
Now, substitute this back into the volume formula:
\[ V = 3.14 \times 16 \times 12 \]
- Calculate:
First, calculate \( 16 \times 12 \):
\[ 16 \times 12 = 192 \]
Now, multiply this by 3.14:
\[ V = 3.14 \times 192 = 602.88 \text{ cubic inches} \]
So, the volume of the cylinder is 602.88 cubic inches.
The correct answer is:
602.88 cubic inches.