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 of the cylinder.
- First, calculate the radius from the diameter. The diameter is 8 inches, so the radius \( r \) is:
\[ r = \frac{d}{2} = \frac{8}{2} = 4 \text{ inches} \]
- Now plug the values into the volume formula. Using \( \pi \approx 3.14 \) and the height \( h = 12 \) inches:
\[ V = 3.14 \times (4^2) \times 12 \]
- Calculate \( 4^2 \):
\[ 4^2 = 16 \]
- Now substitute that back into the volume formula:
\[ V = 3.14 \times 16 \times 12 \]
- Multiply \( 16 \times 12 \):
\[ 16 \times 12 = 192 \]
- Now multiply by 3.14:
\[ V = 3.14 \times 192 \]
- Performing the multiplication:
\[ V = 602.88 \]
So the volume of the cylinder is 602.88 cubic inches. Therefore, the correct response is:
602.88 cubic inches.