Just a comment to above's pictures:
AAA in WW2 was terribly inefficient (kills/rounds fired), they created mostly black smoke in the sky.
One can argue the proximity fuzes of 5" dual purpose on US ships weren't, but nonetheless they hadn't AEGIS back then and I'd be surprised if the AA radars (if any!) could track more than one contact's altitude, range and heading. And I suppose datalinks to 5" turrets weren't invented either.
Even if you have proxy fuses I suspect you still lead the gun (therefore you need an estimation of range, alt and heading of the target).
Does anyone have more info on this?
(Please omit info on surface radars and 14"/16" main guns)