Originally posted by yeti:
Go with z1r's estimate....
1 cubic inch of steel weighs .283 pounds.
You gotta do sum pie are squares and minusing (Pie ain't square! Pie is round, cornbread are square!) and multiply by the weight of steel. (Do all your measurements in inches. European barrels can't be lightened 'cause of the metric system

)
[(Old OD - New OD) x Length] x .283 lbs/CU = Jenny Craig results for a perfect cylinder.
Your barrel is not a cylinder, but more like a truncated cone. Here's the
formula for the volume of a truncated cone