Write the equation for the volume of the partially submerged part of a body floating on the surface of a liquid.

(N/A) For a body of total volume $V$ and density $\rho$ floating in a liquid of density $\sigma$,let $V_{sub}$ be the volume of the submerged part.
According to the law of floatation,the weight of the body is equal to the weight of the liquid displaced by the submerged part.
Weight of the body = $V \rho g$
Weight of the liquid displaced = $V_{sub} \sigma g$
Equating the two: $V \rho g = V_{sub} \sigma g$
Therefore,the volume of the submerged part is $V_{sub} = V \left( \frac{\rho}{\sigma} \right)$.