Three tennis balls have the same mass. If the total mass of the 3 balls is 6310 grams, what is the mass of 1 ball?

The total mass of the 3 balls is 6310 grams.

Therefore, the mass of 1 ball is 6310 grams / 3 balls = <<6310/3=2103.33>>2103.33 grams per ball. Answer: \boxed{2103.33 \text{ grams}}.