The Valentine's Day contest in this MEP Engineering office, sponsored by the office administrative support staff, is this:
Guess how many candy hearts are in the plastic jar at the reception desk.
Details: Plastic Jar - 4" diameter X 4-1/2" high
Candy hearts - 1/4" thick and will fit in a 5/8" circle.
As I see it, the issue is to determine the volume of solid vs the volume of air in the jar.
I used a "survey" approach, i.e I have manipulated the orientation of the jar and counted arbitrarily selected sample columns of hearts, then applied a factor to account for the orientation of the hearts with respect to each other (some upright, some some horizontal, others at various angles) then averaged them in an attempt to extrapolate a count.
Would any one venture a suggestion/strategy for a rational approach instead of the empirical path I've used?