Who ate that apple? Dr. Worm ate it.
Two circle graphs of the same radius of 1 intersect each other's center, and the centers are points \((0.5 , 0)\) & \((1.5 , 0)\) respectively.
If the shaded area is rotated around the \(y\)-axis to produce an "apple core" structure as shown above, what is the volume of this "apple core"?
Give your answer to the nearest 3 decimal places.