Design a Cylindrical Can of Volume 100 Cubic Units That $\sqrt [ 3 ] { \frac { a } { b } }$

Short Answer

Design a cylindrical can of volume 100 cubic units that requires a minimum amount of aluminum; that is, the can is to have a minimum surface area.
Enter your answer exactly as just r, h where r is exactly of form $\sqrt [ 3 ] { \frac { a } { b } }$ representing radius, and h is exactly of form $c \sqrt [ 3 ] { \frac { \mathrm { d } } { \mathrm { e } } }$ representing height (no labels, words, or units).