radio and heater in 1936 Pierce-Arrow

I recently purchased a 1936 Pierce-Arrow 1601 sedan.  It is an older quality restoration.  A heater was installed at some time.  The car was originally equipped with a Philco radio, which I found in the car trunk in excellent condition.  The radio has now been rebuilt and I’d like to install it.  However, it appears that the heater was installed where the radio would have been.  Is it possible to re-install the radio and keep the heater?  Or must I remove the heater to install the radio?  If I had to choose one, I’d pick the radio.