The Heat posted 8-163 and dismissed the Renegades for 137 at Adelaide's Karen Rolton Oval.
It was the Brisbane outfit's second win in three days over the Renegades after prevailing in Mackay on Tuesday.
Brisbane slumped to 3-31 at the end of the sixth over before Voll (52 off 37 balls) and Amelia Kerr (27 off 22) conjured a rescue mission to get their side back in the game.
Voll's innings was a masterclass of placement and common sense in a knock that included nine boundaries.
She stayed until the 19th over to hold the innings together. In the washup that was the difference between the two sides.
Late cameos from Jess Jonassen (16) and Pooja Vastrakar (13no) gave the Heat bowlers a total to defend.
The Renegades' innings was a carbon copy of the Heat's at the start as they crashed to 3-15 in the fifth over.
Josephine Dooley (40 off 28) gave the Renegades a sniff but the turning point came when she holed out to the first ball of the 11th over. Two balls later Heat medium pacer Courtney Grace Sippel (2-13) dismissed Georgia Prestwidge without scoring.
The Renegades needed 99 from the last nine overs and a whirlwind hand by Ellie Falconer (27 off 11) gave her side a chance before she chopped on to Amelia Kerr. Renegades batter Courtney Webb (47no) ran out of partners when the last wicket fell at the end of the 19th over.
The Heat's bowlers performed well as a unit with legspinner Kerr (3-26) and offspinner Charli Knott (3-19) chiming in with key wickets to swing the momentum their team's way.
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