A cylinder has a base diameter of 16 feet and a height of 4 feet. What is its volume in cubic feet, to the nearest tenths place?

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 base, and $h$ is the height of the cylinder.

1. First, determine the radius of the base. The diameter is given as 16 feet, so the radius $r$ is half of the diameter: $r = \frac{16}{2} = 8 \text{ feet}$

2. The height $h$ is given as 4 feet.

3. Substitute the values of $r$ and $h$ into the volume formula: $V = \pi (8)^2 (4)$

4. Calculate $(8)^2$: $(8)^2 = 64$

5. Now multiply by the height $h$: $64 \times 4 = 256$

6. Finally, multiply by $\pi$: $V = 256 \pi$

7. Use the approximate value of $\pi$ (3.14159) to find the volume: $V \approx 256 \times 3.14159 \approx 804.2$

So, the volume of the cylinder is approximately 804.2 cubic feet.