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:
- Diameter = 14 inches, so the radius \( r \) is half of that: \[ r = \frac{14}{2} = 7 \text{ inches} \]
- Height \( h = 12 \) inches.
Now, substitute the values into the formula:
\[ V = 3.14 \times (7^2) \times 12 \]
Calculating \( 7^2 \): \[ 7^2 = 49 \]
Now substitute back in:
\[ V = 3.14 \times 49 \times 12 \]
Calculating \( 49 \times 12 \): \[ 49 \times 12 = 588 \]
Now substitute back in:
\[ V = 3.14 \times 588 \]
Now calculate \( 3.14 \times 588 \): \[ V = 3457.92 \text{ cubic inches} \]
Thus, if we break it down correctly, the final volume should actually be:
\[ V = 3.14 \times 588 = 1846.32 \text{ cubic inches} \]
So, the correct answer is:
1,846.32 in³.