Find the buoyant force acting on a steel ball of volume $V = 0.001$ m³ that is fully submerged in water. The density of water is $\rho = 1000$ kg/m³, $g = 10$ m/s².
By Archimedes' law the buoyant force equals the weight of the water displaced by the body:
$$F = \rho g V = 1000 \cdot 10 \cdot 0.001 = 10 \text{ N}$$
$F = 10$ N