Final answer:
The radius of the cylinder with a volume of 200π cubic feet and a height of 2 feet is 10 feet.
Step-by-step explanation:
To find the radius of a cylinder with a known volume and height, we can rearrange the formula for the volume of the cylinder, V = πr²h. Given that the volume is 200π cubic feet and the height is 2 feet, we substitute these values into the formula and solve for r as follows:
V = πr²h
200π = πr²(2)
100 = r²
r = √100
r = 10
Therefore, the radius of the cylinder is 10 feet.