The top champs globally to counter Volibear include Lucian, Caitlyn, and Aphelios. These picks are all good at countering Volibear with win rates over 58%. Even if these Volibear counter picks are not taken opposite your position, it's not a good idea to play him into any of these matchups. They will usually destroy Volibear.
Conversely, if the opposing team choses either Ziggs or Rumble, you should seriously think about selecting him, as he easily dominates these champs with win rates over 53% against each ofthem.