Final answer:
The volume of the cylinder with a height of 16 feet and a diameter of 10 feet is calculated using the formula V = πr²h and is approximately 1256 cubic feet.
Step-by-step explanation:
To calculate the volume of a cylinder, you can use the formula V = πr²h, where V is the volume, r is the radius of the circular base, π (pi) is a mathematical constant approximately equal to 3.14, and h is the height of the cylinder. In this problem, the diameter of the cylinder is given as 10 feet, so the radius r is half of that, which is 5 feet. Using the provided height of 16 feet, we can calculate the volume.
V = πr²h
V = 3.14 × (5 ft)² × 16 ft
V = 3.14 × 25 ft² × 16 ft
V = 3.14 × 400 ft³
V = 1256 ft³
Therefore, the volume of the cylinder is approximately 1256 cubic feet, rounding to the nearest hundredth.