## Problem Statement

Calculate the volume of the tetrahedron with vertices at points \( A_{1}, A_{2}, A_{3}, A_{4} \) and its height dropped from vertex \( A_{4} \) to the face \( A_{1} A_{2} A_{3} \).

\( A_{1}(2 ; -1 ; 2) \)

\( A_{2}(1 ; 2 ; -1) \)

\( A_{3}(3 ; 2 ; 1) \)

\( A_{4}(-4 ; 2 ; 5) \)