I am using ArcMap 10.1.
I have a DEM of a pit.
I have a known volume of material that I want to put in the pit.
I want to know what the elevation of the flat surface of this material will be once it is all in the pit.
There are a lot of tools for volume calculation that ArcGIS Desktop offers, but none seem to relate to this.
What springs to mind is to iterate through a set of constant raster values and see which most closely matches my known volume when I use each constant raster with the DEM in the "cut/fill" tool.