The position vectors of the four angular points of a tetrahedron \(...

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The position vectors of the four angular points of a tetrahedron \( O A B C \) are \( (0,0,0),(0,0,2) \), \( (0,4,0) \) and \( (6,0,0) \), respectively. A point \( P \) inside the tetrahedron is at the same distance \( r \) from the
\( \mathrm{P} \) four plane faces of the tetrahedron. Find the value of \( 9 r \).

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