Warsprite is in a sense correct however. The gorilla pot belly is the result of a lot of intestines, used to eat a lot of plants and the length of the digestive tract is correlated to the diet which the animal evolved to eat. Shorter = meat, longer = plants. That being said, dogs, for instance have shorter intestines than humans do, but are still not necessarily strict carnivores. To quote wikipedia. "Dogs can adapt to a wide-ranging diet, and are not dependent on meat-specific protein nor a very high level of protein in order to fulfill their basic dietary requirements. Dogs will healthily digest a variety of foods, including vegetables and grains, and can consume a large proportion of these in their diet." (I should make it clear however that this is not the same for cats, cats are obligate carnivores, their diet really does need to be virtually all made of meat.)
The point is that the long intestines really are for digesting really really rough material like leaves, stems, twigs, bark, etc. Humans don't need to digest those parts. When we rely on vegetable matter, we eat things which are considerably less rough. We eat the fruit and the seeds and flowers (broccoli, cauliflower) and roots. And even when we do eat leaves, it's only those of specific plants which are relatively easy to digest, (lettuce, cabbage). If you went up to an oak tree and tried eating oak leaves, they'd come out the other end mostly unchanged, that's why gorillas have long long intestines, because they do eat leaves. Humans however are better at choosing our vegetable matter, and therefore even a human on an all plant diet doesn't need a longer digestive tract, because he or she knows what part of the plant to eat.