LONDON (Reuters) - Oil prices rose on Tuesday, supported by growing confidence that producers are following through on commitments to cut crude supplies while fuel demand picks up with more cars back on the road as coronavirus lockdowns ease.Brent crude futures were up nearly 1.4%, or 50 cents to $36.03 a barrel as of 0840 GMT.U.S. West Texas Intermediate (WTI) crude futures was up 2.6%, or 86 cents, at $34.11 a barrel. There was no WTI settlement on Monday because of the U.S. Memorial Day..