Lemons have densities very close to water, so whether they sink or float can depend on the specific lemon and the specific water. The reference indicates that lemons and limes often have densities close to that of water. This means that some lemons might be denser than water and sink, while others might be less dense and float. Several factors contribute to the density of a lemon, including its variety, size, and internal composition (e.g., juice content and air pockets). Similarly, the density of water can be affected by temperature and salinity.
Therefore, the answer isn't a simple "yes" or "no".