"Aesthetically, a slightly taller can looks nicer. The Golden ratio is approx 1.6, so a can with a height of approx 1.6x it's diameter (3.2x the radius) would be very appealing."
However, it is a myth that the Golden Ratio is the most appealing ratio. Many things, from the Parthenon to paper sizes, don't have a golden ratio and that doesn't make them less attractive.
Also, the supermarket in my neighbourhood sells soup in a variety of containers (cans, tetrabriks, plastic bags) and if only the standard soup can would sell well, I wouldn't see the other packages.
"Perhaps the best known pseudoscientific claim about the golden ratio is that the Greek Parthenon, the famous columned temple atop the Acropolis in Athens, is designed around this ratio. Many are the amateurs who have superimposed golden rectangles all over images of the Parthenon, claiming to have found a match. But if you've ever studied such images, you've seen that it never quite fits, at least not any better than any other rectangle you might try. That's because there's no credible historical or documentary evidence that the Parthenon's designers, who worked more than a century before Euclid was even born, ever used the golden ratio in any way, or even knew of its existence."
2ndly, theres a difference between not having golden ratios and not being based off the golden ratios.
It has a bunch of interesting properties, but aesthetics is not one of them.