For a feasible cell reaction, the standard cell potential (Ecell∘) must be positive.
The given potentials are standard oxidation potentials (as inferred from the subscript notation):
ECo2+/Co3+∘=−1.81 V, so the standard reduction potential is ECo3+/Co2+∘=+1.81 V.
EAl/Al3+∘=+1.66 V, so the standard reduction potential is EAl3+/Al∘=−1.66 V.
Since ECo3+/Co2+∘>EAl3+/Al∘, the Co3+/Co2+ half-cell has a higher tendency to get reduced and will act as the cathode, while the Al/Al3+ half-cell will act as the anode.
The standard EMF of the cell is:
Ecell∘=Ecathode∘−Eanode∘
Ecell∘=1.81 V−(−1.66 V)=1.81+1.66=+3.47 V