In order to clarify the question you ask, I need to ask additional questions.
First, at what level of technology do you wish to operate? If you wish to process the mash in batches, the yield will be different than if you wish to run an automated continuous flow process. If working with a manual or hydraulic batch press in apples, the typical yield will be about 11.5 kilos of liquid from 24.5 kilos of fresh fruit. This is at about 800-900 kpa.
Second, what is the water content of the root at the start?
Third, what type of crushing/chopping equipment is available? A fine mash, slightly larger than cornmeal, gives the best results with cider but also has a problem with too much solid matter in the juice. Will this be a problem for you?
From the description of the gari process I read, it sounds as though a chopped mash able to pass through a screen with 1-1.5 cm openings might be a good starting point.
Also, I would make another suggestion. Find the area that makes the best gari, look at how they process it, and then, attempt to duplicate that mechanically. You will be starting with a known and accepted product which will be more readily accepted by your consumers.
There are several books available on cider making in small quantities. Perhaps one of these would give more definitive answers. Space here seems awfully limited.