Does a tummy tuck remove the fat from all of the abdomen inside and out?

No. A tummy tuck usually only removes skin and fat from the belly button down. It is not possible nor wise to remove all the fat from the abdomen "inside and out". You do however have a flatter tighter abdomen after a tummy tuck that makes it appear you have lost weight.
Only the outside. A tummy tuck will only reduce the amount of lax skin and fat on the outside of the abdominal musculature and not the fat around the abdominal organs (visceral fat).
No. No, the tummy tuck operation removes tissue from the abdominal wall, not from around the internal organs. “Ideal” patient for tummy tuck surgery is one who has completed pregnancies, is psycho socially/emotionally/financially stable, has an excellent social support system surrounding him/her, is capable of arranging enough recovery time, does not smoke and who has reached a long-term stable weight.
No. A tummy tuck will not remove intra-abdominal fat.
No. A tummy tuck removes the extra skin and fat below the umbilicus. Liposuction is often used to remove fat in the flanks and upper abdomen at the same time. The intraabdominal fat is not removed.
No. Only the fat between the skin and the muscle of the abdominal wall is removed; and only from the lower part. The muscles are tightened, too. The only way to remove intraabdominal fat is with weight loss.
Just subq fat. A tummy tuck with fat resection or liposuction will remove the fat under the skin but above the abdominal muscles. Visceral organ fat, particularly the omentum, is an essential and important organ that should be preserved.
Nope. No surgery does nor would you want it to do so.