Let's say you have two cylinders one flatter and one longer, both having equal surface area and both having equal volume. Which will arrive at the surrounding temperature first? Assume that the method of cooling doesn't benefit either shape.
The dimensions are r = 1.20214, h = 5.944 and r = 2.13946, h = 1.877
This provides two cylinders with same volumes and surface areas. Quite interesting. Also the ratio of surface area to volume is 54/27 or exactly 2. Just for funzies.
For any volume and surface area there are always two cylinders that will fit that volume-surface area combo.
Reason why: I simply just wanted to figure out how long I should leave my soda in the freezer and how I would calculate that. Then I got sidetracked thinking about this question.