(B) To determine the density ofa cylinder, the mass (m), length (i), and diameter (d) were measured four times independently to reduce the random errors. Use the data in table (1] for the two cylinders to calculate the density and the random (standard) error for each cylinder. Table (2] Trial 1 2 3 4 Average w 207.90 207.90 207.90 207.90 207.90 g - The masses were measured by a digital balance with an accuracy of 0.01 g. - The length of the cylinder was measured using a Vernier caliper of accuracy 0.002 cm (0.02 mm]. - The diameter of both objects was measured using a micrometer of accuracy of 0.001 cm (0.01 mm). CALCULATIONS AND DATA ANALYSIS: 1 Calculate the average, the random (standard) error for cylinder 2 and write your answers the table below: nun-mm 2 Write each density in the form)? i x. 3 According to your results, what is the type of materials used in both parts of the experiment? {use the Table of densities page 2 in the lab manual ) Cylinder (1): material ..................actual value for the density: Cylinder [2): material actual value for the density: 4 Calculate the percentage error of the density for each cylinder. 5 Show that the equation of density for a solid cylinder is p = 7% Material Density (g/cm3) Aluminum 2.70 Topaz 3.6 Silver 10.49 Brass 8.52 Vanadium 6.1 Copper 8.92 Zink 7.14 Gold 19.3 Iron 7.86