Final answer:
The volume of the cone is 281.06 cubic units.
Step-by-step explanation:
To find the volume of a cone, we can use the formula V = (1/3)πr²h, where r is the radius of the base and h is the height of the cone.
Given that the diameter of the cone is 16 units, we can find the radius by dividing the diameter by 2. So the radius is 16/2 = 8 units.
Substituting the values into the volume formula, we get V = (1/3)π(8)^2(11) = 281.06 cubic units.