I've been racking my brain at this, too!!! However, I found a solution!!! My dilemma is that my child has an iPad mini in which I've been able to: download appropriate apps, music, restrict websites, install safe web browsers, etc. All was well until the latest update last year with the introduction of "iTunes Radio." After going through the trouble of searching online for answers; "more" mysteriously disappeared from the music app so I cannot hide the "iTunes Radio;" and "Reset All Settings," I found I wasted my time! Instead, go to the "Settings" app and on the left side scroll down and select "iTunes and App Store" AND be sure that you or whoever's Apple ID is on your child's device is SIGNED OUT. Proceed to the "Music" app and you'll find that you NO LONGER have access to "iTunes Radio" because you are NOT signed in! I hope this helps many! ;-)
APPLE: Shutting off "EXPLICIT" under "Music and Podcasts" does not cut it if you can still listen to filth... There should be a disable feature for iTunes Radio.