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.
Given:
- The height \( h = 12 \) inches
- The diameter = 8 inches, so the radius \( r = \frac{8}{2} = 4 \) inches
Now substitute the values into the volume formula:
\[ V = 3.14 \times (4)^2 \times 12 \]
Calculating \( (4)^2 \):
\[ (4)^2 = 16 \]
Now substitute back into the formula:
\[ V = 3.14 \times 16 \times 12 \]
Calculating \( 16 \times 12 \):
\[ 16 \times 12 = 192 \]
Now calculate the volume:
\[ V = 3.14 \times 192 \]
Now, calculate \( 3.14 \times 192 \):
\[ 3.14 \times 192 = 602.88 \]
So, the volume of the cylinder is:
\[ \text{Volume} = 602.88 , \text{cubic inches} \]
Thus, the correct answer is:
602.88 cubic inches