A solid steel cube with sides of $a=58mm$ is placed inside a hollow glass sphere that has an outside diameter of $d=200mm.$ The glass sphere weighs $Ws=1\mathrm{.}5N$ and the steel has a specific weight of $sW=65\mathrm{.}4k\frac{N}{m^3}.$ Will the sphere containing the steel sink or float in a liquid with a specific gravity of $sg=0\mathrm{.}8?$

${}_w=9\mathrm{.}81k\frac{N}{m^3}$

total buoyancy force $=$

total weight $=,kN$

A steel cube and a glass sphere will