q222 Two spheres with equal diameters arc submerged at diffe

Two spheres with equal diameters arc submerged at different depths in water (P_water = 998 kg/m^3). Sphere A is at 10 m depth and is composed of air (p_air = 1.2 kg/m^3). Sphere B is at 1 m depth and is composed of steel (rho_steel = 8050 kg/m^3). Which sphere experiences the greater buoyant force? Assume all densities in the problem are constant. a) Sphere A b) Sphere B c) There is no buoyant force on a sphere d) Not enough information c) Buoyant force is the same on both spheres

Solution

Not enough information... Depends on the dia of the spheres

Buoyancy force = density* volume immersed* g

Here volume immersed depends on the diameter of the spheres