The caps are called zucchetto.
Zucchetto: noun: a small round skullcap worn by members of the Roman Catholic clergy, the color of which depends on the rank of the person wearing it
In Christian Churches, it is improper to wear a cap, or a hat, in Church.
The term hierarchy refers to the structure of authority in an organization, particularly a religious organization such as the Roman Catholic Church, which has a very elaborate organizational system, in which the Pope is in charge of everyone, the Cardinals are his immediate subordinates but senior to everyone else, then the archbishops, the bishops, the monsignors, etc. The term succession means the method by which people are replaced, when a position becomes vacant. For example, when a Pope dies, the new Pope is chosen by the Cardinals, in an election that follows very specific rules.
The word kippah, commonly known as a yarmulke, is a Jewish head garment worn by males. Some of the synonyms for the word are skull cap and the aforementioned yarmulke.
The room is called a sanctuary, the seats are called pews
It is called the Steeple or Spire.
Mitre
The 'cap' (beanie) worn by some priests, and all bishops, cardinals and the pope is called a zucchetto.
stl (Saint Louis Cardinals)
Cardinals typically wear a red skullcap called a zucchetto on their head. It is a traditional head covering for clergy in the Catholic Church, including cardinals.
The box-like caps are called biretta ( singular birettum) Bishops wear purple ones. Cardinals wear red. There is a red brimmed hat the cardinals may wear called a galero. The skullcap worn by bishops, cardinals and the pope is called a zucchetto.
A clergyman's cap is called a biretta.
A tasselled cap is called a Fez.
Baby cardinals have no special name, they are still considered to be cardinals. Cardinals can live for about 15 years.
It can be called a cap or a scarf.
A cap.
The Shriner's hat is called a fez.
The select few that work within the Vatican are called the Roman Curia. The entire body of cardinals is known as the College of Cardinals.