batting cage vs cage

batting cage and cage both are nouns.

Word	Noun	Adjective	Verb	Adverb
batting cage	Yes	No	No	No
cage	Yes	No	Yes	No

As nouns, batting cage and cage are synonyms defined as:

batting cage and cage: a movable screen placed behind home base to catch balls during batting practice

batting cage (noun)	cage (noun)
a movable screen placed behind home base to catch balls during batting practice	an enclosure made or wire or metal bars in which birds or animals can be kept
	the net that is the goal in ice hockey
	a movable screen placed behind home base to catch balls during batting practice
	something that restricts freedom as a cage restricts movement

batting cage (verb)	cage (verb)
	confine in a cage