Statement 1: A larger dry cell has higher emf.

Statement 2: The emf of a dry cell is proportional to its size.

In order to maintain a continuous flow of charge in an electrical circuit, work has to be done. This work is done by the cell. The energy liberated in the chemical reactions taking place in the cells maintains the flow of charge in the circuit. Thus, the cell converts the chemical energy of its electrodes and the electrolyte into the electrical energy. The energy given by the cell in the flow of unit charge in the whole circuit is called the emf of the cell. The emf is a characteristic of the cell which depends upon the nature of the plates and the electrolyte used in cell.
Hence, the emf does not depend upon the size of the cell.