Thanks for your question.
I think you're asking is this Dispense-Rite ADJ-2 Cup Dispenser will hold your 16 oz cups that are approximately 4 3/8" in diameter, correct?
This dispenser has a max cup diameter capacity of 4 5/8" in diameter, so your 16 oz cups should fit. If you have any questions, or if you'd like to discuss other options, please give a member of our Tundra Restaurant Supply team a call at 1-888-388-6372. We'll be happy to speak with you and find the right fit for your needs.
Answered on 9/25/2013 by Andrew Call from Boulder, CO