In a cylindrical vessel with a bottom area S there are two non-miscible liquids with densities ρ1 and ρ2. A cube-shaped block of volume V and density ρk (ρ1>ρk>ρ2) is placed inside the vessel. The block is completely inside the liquids and does not touch the bottom of the vessel.
\osa How big part of the block is located in the bottom liquid?
\osa How much does the height of the separating surface of the two liquids change after placing the block inside the vessel?