Question

A cylinder of density ρo, length l, and cross-sectional area A floats in a liquid of density ρf with its axis perpendicular to the surface. The length h of the cylinder is submerged when the cylinder floats. Find an expression for the length h of the cylinder.

Answer 1

$\rho_fgV_f=\rho_0gV_0\to \rho_fAh=\rho_0Al\to h=\rho_0l/\rho_f$ . Answer