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 of the cylinder, and
- \( h \) is the height of the cylinder.
Given:
- The diameter of the cylinder is 16 inches, so the radius \( r \) is half of the diameter: \[ r = \frac{16}{2} = 8 \text{ inches} \]
- The height \( h \) is 7 inches.
Now, substituting the values into the formula:
\[ V = 3.14 \times (8)^2 \times 7 \]
First, calculate \( (8)^2 \):
\[ (8)^2 = 64 \]
Now substitute back into the volume equation:
\[ V = 3.14 \times 64 \times 7 \]
Now, calculate \( 64 \times 7 \):
\[ 64 \times 7 = 448 \]
Now substitute that back into the equation for volume:
\[ V = 3.14 \times 448 \]
Now, calculate \( 3.14 \times 448 \):
\[ V = 1407.92 \]
Rounding to the nearest hundredth, the volume of the cylinder is:
\[ \boxed{1407.92} \text{ cubic inches} \]