  Recent discoveries make it possible to compute the K-theory of certain rings
from their cyclic homology and certain versions of their cdh-cohomology. We
extend the work of G. Corti\~nas et al. who calculated the K-theory of, in
addition to many other varieties, cones over smooth varieties, or equivalently
the K-theory of homogeneous polynomial rings. We focus on specific examples of
polynomial rings, which happen to be filtered deformations of homogeneous
polynomial rings. Along the way, as a secondary result, we will develop a
method for computing the periodic cyclic homology of a singular variety as well
as the negative cyclic homology when the cyclic homology of that variety is
known. Finally, we will apply these methods to extend the results of Michler
who computed the cyclic homology of hypersurfaces with isolated singularities.
