To find the volume of a cylinder, you can use the formula:
\[ V = \pi r^2 h \]
where:
- \( V \) = volume
- \( r \) = radius of the base of the cylinder
- \( h \) = height of the cylinder
Given:
- Height \( h = 12 \) inches
- Diameter = 8 inches, so the radius \( r = \frac{diameter}{2} = \frac{8}{2} = 4 \) inches
Using \( \pi \approx 3.14 \):
Now, plug in the values:
\[ V = 3.14 \times (4^2) \times 12 \]
Calculating:
- \( r^2 = 4^2 = 16 \)
- Volume calculation: \[ V = 3.14 \times 16 \times 12 \] \[ V = 3.14 \times 192 \] \[ V = 602.88 \text{ cubic inches} \]
So the correct answer is:
602.88 cubic inches.