Question

An ice berg of density 900 Kg/$m^3$ is floating in water of density 1000 Kg/$m^3$. The percentage of volume of ice-cube outside the water is:

• A. 20%
• B. 35%
• C. 10%
• D. 25%

Answer 1

The correct option is C

10%

Let the total volume of ice-berg is V and its density is $\rho$. If this ice-berg floats in water with volume $V_{in}$ inside

it then $V_{in}\sigma g=V\rho g\Rightarrow V_{in}=⟮\frac{\rho }{\sigma }⟯V$ [$\sigma$ = density of water]

or $V_{out}=V-V_{in}=⟮\frac{\sigma -\rho }{\sigma }⟯V$

$\Rightarrow \frac{V_{out}}{V}=⟮\frac{\sigma -\rho }{\sigma }⟯=\frac{1000-900}{1000}=\frac{1}{10}$

$\therefore V_{out}=10\%$ of V