2. A battery hydrometer can test for the strength of a battery by knowing that the specific gravity, SG, of the electrolyte in a battery cell varies with charge. Fully charged, SG = 1.280. Three quarter charged, SG = 1.240, Half charged, SG = 1.200, Quarter charged, SG = 1.160, Discharged, SG = 1.120. A mechanic draws battery acid into the large tube below and the glass hydrometer floats. The diameter of the wide portion of the hydrometer in the battery tester below is 1.5 cm and its length is 4 cm. The hydrometer's thin portion with the scale has a diameter of 0.5 cm. Assume that the length of the transition in diameters is negligible. The glass in the hydrometers weights 0.0125 N and lead beads (0.075 N) are affixed to the bottom of the hydrometer (black on the right side). How far much of the thin tube (in cm) will submersed if the battery is half charged? WWYBRZARIA