Who ate that apple? Dr. Worm ate it.

Calculus Level 4

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"?

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