Explanation:

- The term "a large bound bundle of paper, hay, or cotton" specifically refers to a compact and tied package.

- Bale: This is the correct term. A bale is a large bound bundle of items like paper, hay, or cotton, pressed tightly and secured for storage or transport.

- Barrel: A cylindrical container typically used for storing liquids.

- Gale: Refers to a strong wind, not related to bundles of materials.

- Cache: A collection of stored items or a stash, often hidden, not in a bundle form.