cupful

A tea stick with a drop on it is not what you want.

Used to count cups, glasses, bowls, or servings of liquid, such as drinks and soups.

It can also be used to count things that are typically served in a vessel, like scoops of ice cream or servings of rice.

The pronunciation changes just as any other counter that starts with an h-sound, such as 本hon and 百hyaku.