The Example:

 

 

Through Arduous Calculations one can determine that this can has:

 

Volume = 207.71875 p cm

Surface Area = 133.875 p cm

 

The Dimensions for Minimum Surface Area calculated again arduously are:

 

H = 9.4 cm

R = 4.7 cm

 

Which makes the minimum surface area 132.54 p cm, a waste of almost 2 cm.

 

 

 

Disclaimer:

The numbers are fictional representation of a can. They might not correspond to a real can, resulting in calculation differences. This is just for an example.