# 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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