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Hot water soap and paper towels
denser things sink faster the denser it is then the faster it will sink
Not all heavy things sink. Things that are more dense than the liquid around them will sink.
a sink which you use to wash your hands in whilst cooking.
Granite countertop makers use a template provided with the sink as a guide for the cutout.
You haven't provided enought detail. The answer is maybe. If the sink is indoors and the pipes are in a well insulated portion of the building structure, then probably not. If the pipes are in an exterior wall or in an uninsulated space and the outside air temps go below freezing in the winter, then it's probably a good idea. They'll also be quieter if you wrap them.
Maybe because they build it to not sink and some things sink because it is how it's made
It's a bathroom sink.
things that are more dense sink while things that are less dense float
If you slowly slide your hand into a batch of Oobleck it will sink. If you try to quickly remove your hand it'd be hard to get your hand out. And if you punch, or apply force to the Oobleck it will feel solid.
Things that float in a fluid are less dense than the fluid. Things that sink in a fluid are more dense than the fluid.
If density is greater than 1.0 then it will sink in water.