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"?

Give your answer to the nearest 3 decimal places.

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