Final answer:
The cranial nerve malfunctioning in a patient with sensorineural deafness is Cranial Nerve VIII (CN VIII), also known as the vestibulocochlear or auditory nerve.
Step-by-step explanation:
A patient diagnosed with sensorineural deafness is experiencing a malfunction in the vestibulocochlear nerve, which is also known as the auditory nerve or Cranial Nerve VIII (CN VIII). Sensorineural hearing loss occurs from a failure to transmit neural signals from the cochlea to the brain and can be caused by conditions such as Ménière's disease. This type of hearing loss affects the sensory pathways (hair cells in the organ of Corti) or the nerve itself (the cochlear nerve), which is essential for hearing.
Answering the question, for sensorineural deafness, the impaired cranial nerve is: