  We show that for every $k\ge 3$ there exist complex algebraic cones of
dimension $k$ with isolated singularities, which are bi-Lipschitz and
semi-algebraically equivalent but they have different degrees. We also prove
that homeomorphic projective hypersurfaces with dimension greater than 2 have
the same degree. In the final part of the paper, we classify links of real
cones with base $\mathbb{P}^1\times \mathbb{P}^2.$ As an application we give an
example of three four dimensional real algebraic cones in $\mathbb{R}^8$ with
isolated singularity which are semi-algebraically and bi-Lipschitz equivalent
but they have non-homeomorphic bases.
