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) = diameter / 2 = 8 inches / 2 = 4 inches
Now, substitute the values into the formula:
\[ V = 3.14 \times (4)^2 \times 12 \]
Calculating \( (4)^2 \):
\[ (4)^2 = 16 \]
Now substitute back into the volume formula:
\[ V = 3.14 \times 16 \times 12 \]
Calculating \( 16 \times 12 \):
\[ 16 \times 12 = 192 \]
Now substitute back again:
\[ V = 3.14 \times 192 \]
Now calculate \( 3.14 \times 192 \):
\[ V = 602.88 \]
Therefore, the volume of the cylinder is 602.88 cubic inches.
The correct response is:
602.88 cubic inches