To find the volume \( V \) of a cylinder, you can use the formula:
\[ V = \pi r^2 h \]
where:
- \( r \) is the radius of the base,
- \( h \) is the height of the cylinder, and
- \( \pi \) is approximately 3.14.
First, we need to determine the radius. The diameter of the cylinder is 16 inches, so the radius \( r \) is half of the diameter:
\[ r = \frac{16}{2} = 8 \text{ inches} \]
Next, we can substitute the values of \( r \), \( h \), and \( \pi \) into the formula:
\[ V = 3.14 \times (8)^2 \times 7 \]
Calculating \( (8)^2 \):
\[ (8)^2 = 64 \]
Now, substitute this into the volume formula:
\[ V = 3.14 \times 64 \times 7 \]
Calculating \( 64 \times 7 \):
\[ 64 \times 7 = 448 \]
Now substitute that into the volume formula:
\[ V = 3.14 \times 448 \]
Calculating \( 3.14 \times 448 \):
\[ 3.14 \times 448 = 1407.52 \]
Thus, the volume of the cylinder is:
\[ \boxed{1407.52} \text{ cubic inches} \]