A geometry problem by Mark Vincent Esmeralda Mamigo

Geometry Level pending

A triangle with sides 7, 8, and 9 is being revolved with the angle bisector to the side 9 as its axis. If the volume of the solid can be expressed in the form \( \dfrac{\pi a\sqrt{b}}{c}\) in the simplest form, find the sum of the digits of \( \dfrac{ac}{b} \).

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