To calculate the volume of a right circular cylinder, we can use the formula V = πr^2h, where V represents the volume, π (pi) is a mathematical constant approximately equal to 3.14159, r is the radius of the base, and h is the height of the cylinder.
Given that the diameter of the cylinder is 10 meters, we can find the radius by dividing the diameter by 2. Therefore, the radius (r) is equal to 10/2 = 5 meters. The height (h) of the cylinder is given as 16 meters.
Now, substituting these values into the formula, we have:
V = π(5^2)(16)
V = π(25)(16)
V = 400π
Hence, the volume of the right circular cylinder with a diameter of 10 meters and a height of 16 meters is 400π cubic meters.