In Part I, Petter Brändén extended the theory of Lorentzian polynomials to cones beyond the positive orthant, and showed how this could be used to prove Hodge-Riemann relations of degree one for Chow rings. In this talk, we will recap the main points of his talk, and then we will apply the theory of Lorentzian polynomials on cones to some specific important examples. Part I will not be required to understand this talk. Joint work with Petter Brändén.