Put this one in the "weird but true" pile - researchers at Erlangen University in Germany have managed to dump the contents of a Galaxy Nexus's RAM... which doesn't sound exciting. Except for the fact that the phone had a PIN-protected lockscreen and encrypted internal storage. The technique used, known as "FROST" (clever acronym there, guys), has been demonstrated on computers before.
Step 1.) put the (powered-on, if it's off you lose the valuable RAM contents) phone in a really, really cold freezer. Step 2.) develop software that allows you to dump the active memory from an Android smartphone via USB (you might want to do this before step one).