Question

An ice berg of density 900 kg/m is floating in water of density 1000 kg/m. 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 $V_{in}\sigma g=V\rho g\Rightarrow V_{in}=\left(\frac{\rho }{\sigma }\right)V$
or $V_{out}=V-V_{in}=\left(\frac{\sigma -\rho }{\sigma }\right)V$
$\Rightarrow \frac{V_{out}}{V}=$ $\left(\frac{\sigma -\rho }{\sigma }\right)$$=\frac{1000-900}{1000}=\frac{1}{10}$
$\therefore V_{out}=10\%$ of V