Based on latest code it probably should have been designed, assuming a cold roof, for 24psf flat snow load, 5psf rain on snow, round it up to 30psf...(not sure about the code 30 years ago)
30psf load with 20.5pcf density
30/20.5 = 1.46ft = 17.6 inches snow design. Assuming no unbalanced snow, (and proper drainage) which I don't know enough about a dome structure to know if you can make that assumption. So hell, after all safety factors, are taken into account from both snow loads and fabric loads I would think it would be able to take at least 40psf of load before failing, which would be 2 feet of snow. Not enough info though.