I'm not sure who thought of the idea of figural radios... I guess someone figured if figural bubble bath sells, it's a good idea to make figural everything! In 1973, both Superman and Batman got figural radios made of them.
This Jay Leno-chinned Superman head was made by Wilton in 1977 intended as a cake decoration, I guess for those cake decorators who couldn't do faces that well. No idea what the size of this is.