CAN Cheapco figure out this problem?

Team: 
Squadrilateral
Topic: Solid Geometry
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Cheapco's head walks in on three employees talking about the unpopularity of the soda. The boss yells at them, saying that they need to make a soda can better than that of their competitor's brand. The employees start figuring out all the math and report back to the boss about the new cola can and the price to make it.

Common Core Standards: G-GMD.3
Problem #: 
45 (2015-2016)
Problem Difficulty Level: 4 [?]