To find the volume \( V \) of a cylinder, you can use the formula:
\[ V = \pi r^2 h \]
where:
- \( \pi \) is approximately 3.14,
- \( r \) is the radius of the cylinder, and
- \( h \) is the height of the cylinder.
First, we need to find the radius \( r \). The diameter of the cylinder is given as 16 inches, so the radius is:
\[ r = \frac{diameter}{2} = \frac{16}{2} = 8 \text{ inches} \]
The height \( h \) of the cylinder is given as 7 inches.
Now we can substitute the values into the volume formula:
\[ V = \pi r^2 h = 3.14 \times (8^2) \times 7 \]
Calculating \( 8^2 \):
\[ 8^2 = 64 \]
Now substitute this value into the formula:
\[ V = 3.14 \times 64 \times 7 \]
Calculating \( 64 \times 7 \):
\[ 64 \times 7 = 448 \]
Now substitute this result back into the formula:
\[ V = 3.14 \times 448 \]
Calculating \( 3.14 \times 448 \):
\[ 3.14 \times 448 = 1407.92 \]
Thus, the volume of the cylinder is:
\[ \boxed{1407.92} \text{ cubic inches} \]