Final answer:
The cochlea is not part of the vestibular apparatus; it is involved in the auditory system, whereas the semicircular canals, utricle, and saccule constitute the vestibular apparatus responsible for balance.
Step-by-step explanation:
The structure from the vertebrate inner ear that is NOT part of the vestibular apparatus is the cochlea. The vestibular apparatus consists of the semicircular canals, utricle, and saccule, which are responsible for balance and spatial orientation. The cochlea, on the other hand, is involved in the auditory system and is responsible for transducing sound waves into neural signals.