AutoCAD Civil 3D

[#1]

Is there a way to generate a volume report for a bounded volume surface?

Don

[#2]

I think only if you have the Volumes Dashboard - subscription in 2012, standard in 2013

[#3]

If you don't have the Volumes Dashboard (i.e. 2011 or earlier) you can use the Bounded Volumes command. In order to use the command you'll need a volume surface and a polyline representing the area of interest. 

http://screencast.com/t/rb071TsfLge

[#4]

I assumed the OP wanted a real report rather than a command line cut and paste which is the only output available from this method