You don't need to integrate anything is you assume that 1) the radius is constant, and 2) the density is constant.
Like I posted below, Toy_Guy's post is giving an absolute best case scenario. Realistically, the keyboard tuners are even further off than his post indicates. Hugely so.
Mirror|rorriM
I've ridden a total of 52 days so far this season
I got to snowboard a total of 45 days in the 06-07 season.
I got to snowboard a total of 58 days in the 05-06 season.
I got to snowboard a total of 139 days in the 04-05 season.
RYAN SMITH ("GOLFRSI" or "BIADesigns") STOLE MY A-PILLAR. DON'T DO BUSINESS WITH THIS FRAUD

RYAN SMITH ("GOLFRSI" or "BIADesigns") STOLE MY A-PILLAR. DON'T DO BUSINESS WITH THIS FRAUD

My First Post