Final answer:
The fried treat named after the cone-shaped utensil through which the batter is poured is the Funnel Cake, distinct for its woven and swirly pattern.
Step-by-step explanation:
The fried treat in question that is named after the cone-shaped utensil it is poured through before frying is the Funnel Cake. This is a popular carnival and fair food, especially in America. The name itself comes from the way the batter is poured into the hot oil; it's traditionally poured through a funnel, creating its distinct, woven and swirly pattern. Once it's fried to a golden brown, it is often dusted with powdered sugar or served with other sweet toppings.
While churros are also a fried pastry, they are typically extruded from a star-shaped nozzle. Beignets are a type of fritter originating from France but popular in New Orleans, and they are square-shaped and also dusted with powdered sugar. Doughnuts can come in various shapes, including rings and filled pastries, but are not characterized by the use of a funnel during their preparation.
To sum up, the correct final answer is: A) Funnel Cake.