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Math·Geometry and Trigonometry·Area and volume

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Sphere A and Sphere B are tangent to each other at point P. Segment MP is a diameter of Sphere A, segment NP is a diameter of Sphere B, and point P lies on line segment MN. The radius of Sphere A is $5$ times the radius of Sphere B. If the volume of Sphere B is $288\pi$ in.³, what is the length of segment MN in inches?

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