I don't do work at home. We do a lot of reading and writing. I spend a fair amount of time preparing for oral arguments. Following a conference or argument, there's a lot of time spent working on opinions. In addition to the case work, we have a fair number of other responsibilities for court administration.
Some justices have computers set up at home to do research.
The job would expand to fill every hour I didn't set aside for other things in my life. I love skiing, snowshoeing, hiking. I'd rather die than climb a mountain. We gather in the conference room. The assigned judge presents the legal issues and resolutions in a rather formalistic way.