Using table create a graph relating temperature to density of water. $($see Appendix A for proper graphing techniques$).$

Determine the density of water at of $17\mathrm{.}6C$ using your graph. Place this point on the graph.

The relationship between temperature and density is linear for the region above $4C$ up to close to the boiling point. Consult Appendix A regarding linear relationships and using the method of least squares determine the equation that relates temperature to density. Make sure to show all your work.

Calculate the density of water at $17\mathrm{.}6C$ using the equation of the line from question #$3.$

Calculate $\%$ relative error for density of water and ethanol.

Compare the volumes of the metal cylinders determined by the Archimedes' method with the calculated volume based upon length and diameter.

Being mindful of propagation of error, to what certainty is your calculated volume for the rectangular metal object? $($Appendix $B$ for propagation of error$)($ie; what is the $+-$ in $c{m}^3?)$