Volume of Revolution of a Skew Line Segment

Calculus Level pending

A line segment extends from:

\( (10, 0, 0) \) to \( \left( 5 \cos \left(\dfrac{2 \pi } 3 \right) , 5 \sin \left(\dfrac{2 \pi } 3\right), 15\right) \).

Find the volume of revolution of this line segment about the \(z\)-axis. If the volume can be written as \( \pi A \), enter \( A \) as your answer.

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