When an object it can be shown completely generally
that its kinetic energy consists
of a sum of the translational kinetic energy and the rotational
kinetic energy. Applying our formulae for each of these we get
where r is the radius of the objct in touch with the surface on which rolling is taking place. Note that 
is a dimensionless
positive correction to the kinetic energy coming about from the
presence of rotation in rolling objects.
We can use this result to analyze the case of various round objects
rolling down an inclined plane: