To determine which disease does not spread through the air, let's examine each option:
Measles: This is a highly contagious disease that spreads through respiratory droplets when an infected person coughs or sneezes, hence it spreads through the air.
Cholera: This is an infectious disease caused by the bacterium Vibrio cholerae. It primarily spreads through contaminated water and food, not through the air.
Cold: The common cold is caused by viruses such as rhinoviruses and spreads through airborne respiratory secretions, making it an airborne disease.
Tuberculosis (TB): TB is a bacterial infection that spreads through the air when an infected person coughs or sneezes. It is an airborne disease.
From the analysis, Cholera is the disease that does not spread through the air. It spreads via contaminated water and food sources. Thus, the correct answer is: