The 28-year-old's man-of-the-match knock of 122 off 99 deliveries in Hobart, while batting at No.4, was his fourth ton in domestic one-day cricket and another example of what he can achieve when the shackles are off.
Rain came after 46.3 overs in Queensland's 6-319 total and Tasmania, chasing a revised 338 to win in 46 overs, replied with 281 all out.
Bulls skipper Mitchell Swepson (4-40) chimed in with his well-flighted legspinners despite aggressive knocks from Jake Weatherald (55) and Matthew Wade (68).Â
Matthew Wade top scored for Tasmania with 68. (Cricket Australia - Dave Acree/AAP PHOTOS)
Renshaw told AAP after his recent Sheffield Shield century against the same opponents the secret to his success was all about "intent".
He showed plenty of intent, and what a wonderful white-ball cricketer he can be, in another reminder to Australian selectors of his talents.
Renshaw and fellow left-hander Jack Clayton (72 off 57 balls) added 154 runs for the fourth wicket to set up the win.
A smashing flick over the mid-on fence by Renshaw off medium pacer Bradley Hope was followed by a classic cover drive to the boundary to bring up his half-century.
Jimmy Peirson (43) and debutant Angus Lovell (42) gave the Bulls early impetus.
Tasmania spinner Matthew Kuhnemann (3-49) was far and away the best bowler for the hosts. He was also magnificent in the field with several diving stops saving certain boundaries.
Swepson bowled one of his best spells for Queensland with his flight, variation and all-round guile on show to have the hosts in dire straits at 8-207.
The interest at that point was whether the Bulls could keep Tasmania to less than 271 and secure a bonus point.
Kuhnemann (34no) and Tom Rogers (39) in a 67-run ninth-wicket stand denied Queensland the privilege.
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