Final answer:
There is no direct information available to answer the question about the ARC's facilities, as the reference provided only details the ancient Baths of Caracalla, which had different types of rooms and pools for leisure and exercise in Roman times.
Step-by-step explanation:
The student's question asks about the facilities available within the ARC, which is likely a recreation or athletic center. However, the provided information pertains to the Baths of Caracalla, an ancient Roman bath complex, and there is no direct answer available from the reference provided for the specific question about the ARC's facilities. Hence, we cannot confidently determine the number of basketball/volleyball courts, activity rooms, weight rooms, or the additional facilities such as a pool, running track, or other amenities the ARC might have. The Baths of Caracalla, as described in the reference, did feature various facilities like a frigidarium (cold room), a double pool tepidarium, a caldarium (hot room), two palaestras, and a natatio or swimming pool, which were integral parts of Roman bath complexes. These ancient baths were grand in scale and served multiple purposes, including leisure, exercise, and socializing within the Roman society.