Is it possible that higher viscous material will occupy the higher volume or vise versa? Is there is any funda of capillary action, such as inter atomic force of attraction between particles and the container in which it is stored?
.Mohammad is correct. There is no formal relationship between viscocity and density.
Although viscous materials tend to be denser than non-viscous this is not always the case.
Take a trip into the kitchen for a simple example.
Take some cream and compare its viscocity to water. Clearly the cream is more viscous and slightly denser.
Now whip the cream until it is fully aerated. At this point the whipped cream takes up a massive volume compared to the water (IE is much less dense) but is now extremely viscous, to the point - depending on your catering skills - where it will freely stand in peaks for a considerable time.
Finally put the cream on some sugary fruit, eat it and reflect on how you may use advanced science to prepare excellent meals daily.
By definition the frictional effect of flowing fluid is called viscosity so if the viscosity is increase then the volume of any material is also increase