Final answer:
The cerebellum receives sensory input from receptors in the inner ear that are crucial for maintaining equilibrium and balance.
Step-by-step explanation:
The region of the brain that receives sensory input from the inner ear's receptors for equilibrium and balance is the cerebellum (A). The inner ear contains mechanisms for detecting equilibrium that include the utricle, saccule, and semicircular canals. The sensory information from these structures is transmitted to the cerebellum via the vestibulocochlear nerve. The cerebellum processes this information to help maintain balance and coordinate movements.