On the answer page to a recent "Figuring Physics" question, the cute mouse asks another question: "Does the [sea] water level change if the iceberg melts?" The conventional answer is "no." However, in this paper I will show through a simple analysis involving Archimedes' principle that the sea level will rise. The analysis shows the wrong conventional answer is due to the wrong assumption that water from a melted iceberg has the same density as seawater. An iceberg is freshwater ice. The sea level rise is essentially due to the difference in the density of seawater (1024 kg/m[superscript 3]) and freshwater (1000 kg/m[superscript 3]). A simple experiment, suitable as an introductory laboratory exercise, that validates the predicted sea level rise is presented at the end of the paper.