Maximizing The Cylinder's Surface Area

Calculus Level 3

Given a cylinder with a fixed volume of 900 \(cm^{3}\), is it possible to maximize its TOTAL (not lateral) surface area?

Hint: This problem is easiest to visualize while optimizing by using variable r = radius and h = height.

Image credit: [Jonathunder]{http://en.wikipedia.org/wiki/File:CornWaterTower.JPG)
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