Final answer:
The volume of a cylinder with a diameter of 16 feet and a height of 5 feet is calculated using the formula V = πr²h, resulting in 320π ft³.
Step-by-step explanation:
To calculate the volume of a cylinder, we use the formula V = πr²h, where V is volume, π (pi) is approximately 3.14159, r is the radius of the base of the cylinder, and h is the height of the cylinder. Since the diameter of the cylinder is given as 16 feet, the radius r is half of that, which is 8 feet. Plugging the values into the formula, we get V = π(8 feet)²(5 feet), which equals 320π cubic feet. Therefore, the correct answer to the volume of the cylinder is option 2: 320π ft³.