ajk1,
Your method is certainly on the conservative side, as it considers more soil above the pipe. I don't have a copy in front of me, but there is a publication by the Concrete Pipe Association that has several diagrams and examples of soil load on a buried pipe. For large diameter pipe, the vertical load is not uniform, but this is a special case for projects such as tunnels, not drain lines below a slab. (In this case, the load profile resembles 3 adjacent "peaks", not a pyramid)
The only poster above advocating the use of the angle of repose is SteynvW. I clicked on the links he provided and did not see how or where it correlates the weight of soil above a given depth to the angle of repose unless you are trying to figure out the geometry of a conical, free standing, heap of soil. (if I missed it or if Stenynv can chime in, please let me know). As an example to reinforce my point, say you were considering the soil load above a 1'x1' plate 10' below grade and the soil weighed 100pcf. Would you not calculate the weight on the plate as 100pcf*1'*1'*10" = 1000 lb?
Can you please explain your rationale regarding the inverted pyramid?