Final answer:
The commonly used cake for celebrations like birthdays, weddings, and graduations that has numerous flavors is the layer cake, often frosted with buttercream for versatility in decorating.
Step-by-step explanation:
The cake that is commonly used in birthdays, weddings, and graduations and comes in numerous flavors is the layer cake. These layer cakes can have a variety of fillings and frostings, including buttercream, which is a popular choice that provides a smooth and creamy texture ideal for decorating. Not to be confused with concepts such as marble-cake federalism discussed in political studies or the literal representation in pop art, such as Thiebaud's 'Boston Cremes' or Oldenburg's 'Floor Cake', these celebrations often feature cakes with multiple colorful layers that can resonate with the event's theme or personal preferences.