A solid cylinder of uniform density ρcyl=850 kg m−3\rho_{\text{cyl}} = 850\text{ kg m}^{-3}ρcyl=850 kg m−3 and total height H=40.0 cmH = 40.0\text{ cm}H=40.0 cm is floating vertically in a container holding two immiscible liquids: water (ρw=1000 kg m−3\rho_w = 1000\text{ kg m}^{-3}ρw=1000 kg m−3) and oil (ρo=800 kg m−3\rho_o = 800\text{ kg m}^{-3}ρo=800 kg m−3).
As shown in the diagram, the cylinder is completely submerged within the two liquids, with its flat top face level with the upper surface of the oil.
What is the height hw h_w\,hw of the portion of the cylinder submerged in the water layer?
10.0 cm10.0\text{ cm}10.0 cm
15.0 cm15.0\text{ cm}15.0 cm
30.0 cm30.0\text{ cm}30.0 cm
34.0 cm34.0\text{ cm}34.0 cm