Quantity Al Pb Length (m) 0.088 + 0.001 0.037 + 0.001 Diameter (m) 0.0268 + 0.0001 0.0246 + 0.0001 Volume (m³) 0.000049616 + 0.000000934 0.000017577 + 0.0000006179 Mass (kg) 0.1340 + 0.0001 0.1994 + 0.0001 Density (kg/m³) 2700.74 52.8558 11344.37 404.488 The density of water is 1000 kg/m3. Are aluminum and lead more dense, less dense, or as dense as water? Aluminum: more dense than water e Lead: more dense than water e The buoyant force is Fg = pgV, where p is the density of the liquid, g is 9.8 m/s?, and V is the displaced volume. In this case, p and g are given values, so the uncertainty on the buoyant force is due only to the uncertainty on the displaced volume: og = pgoy. What are the buoyant forces on each cylinder, and what are the uncertainties? Fg on Al cylinder: FB on Pb cylinder:

Quantity Al Pb Length (m) 0.088 + 0.001 0.037 + 0.001 Diameter (m) 0.0268 + 0.0001 0.0246 + 0.0001 Volume (m³) 0.000049616 + 0.000000934 0.000017577 + 0.0000006179 Mass (kg) 0.1340 + 0.0001 0.1994 + 0.0001 Density (kg/m³) 2700.74 52.8558 11344.37 404.488 The density of water is 1000 kg/m3. Are aluminum and lead more dense, less dense, or as dense as water? Aluminum: more dense than water e Lead: more dense than water e The buoyant force is Fg = pgV, where p is the density of the liquid, g is 9.8 m/s?, and V is the displaced volume. In this case, p and g are given values, so the uncertainty on the buoyant force is due only to the uncertainty on the displaced volume: og = pgoy. What are the buoyant forces on each cylinder, and what are the uncertainties? Fg on Al cylinder: FB on Pb cylinder: