Voges grabbed his third hundred in 11 Tests with two runs off the penultimate ball of the session in Hobart to extend his fourth-wicket partnership with Marsh (42 not out) to 136 runs.
They came together shortly before lunch when opener David Warner's dismissal for 64 had reduced Australia to 121-3, pegging back the hosts after they had dominated the first hour.
West Indies opted for a four-pronged pace attack on a wicket with a greenish tinge but it was left-arm spinner Jomel Warrican who did the most damage, claiming the key wickets of Warner and skipper Steve Smith (10).
The tourists had rested their hopes of a Bellerive Oval upset on targeting Australia's middle order but thirty something Western Australians Voges and Marsh thwarted their ambitions.
Voges, who made his Test debut against West Indies in Roseau earlier this year, got himself set before making a statement of intent by clubbing Warrican for four boundaries in one over.

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