The Cold War demanded that we intervene.
Part of the cold war; should America have participated in the cold war?
Uh... The cold war. You should probably know this.
no you dont have to
No, but you should capitalize American. If the specific branch of the military is named, it should be capitalized.
Yes, it is a proper noun. There was only one Cold War. Both words should be capitalized. It should also be capitalized when used as an adjective, such as Cold War diplomacy, Cold War technology, etc.
yes
Yes it should be capitalized.
In English, we capitalize the word war when we are naming a particular war. World War I was "the war to end all wars".
You should capatalize Mars, Roman, and God, plus War, depending on the context.
Yes, you should capitalize the C in Century.
You should capitalize it if it is a brand name.
The Cold War demanded that we intervene.
No, you should not. You should only capitalize a word when it is at the start of a sentence or when it is a proper noun.
Part of the cold war; should America have participated in the cold war?
Uh... The cold war. You should probably know this.
Yes, you should capitalize "The Rotunda" as it is a specific place or location.