The Cake

Sometimes they bring cake. It represents the anniversary of an individuals employment with the company, and usually is accompanied by a speech by both parties. What was usually a 24" x 18" behemoth of a chocolate baked good was today replaced by a quaint, round 12" carrot cake. My first thought was, "Man, I really wish I had an IPA on hand." (see October 8, 2008 post).
My second thought was, "Hey..." quick calculation:

volume of cylinder = piR^2h = 452.39 in^3

volume of rectangle = lwh = 1296 in^3

"...that's 843.61 cubic inches less cake! A decrease of 65%."

But upon further thought and calculation, I figured my intake, assuming equal division of cake, would be a 6" x 6" brick slab of chocolate, versus a modest, manageable 3" wedge of carrot.

My arteries thanked me in advance for my due diligence.