Question

A block of ice of density $0.9gmc{c}^{-1}$ and of volume $100cc$ floats in water. Then volume of ice inside the water

• A. $10cc$
• B. $90cc$
• C. $50cc$
• D. $9cc$

Answer 1

Answer: (B)

$90cc$

Fraction of volume of ice above the water surface is given by

$f=1-\frac{V_s}{V_{i}c}$

Where, $V_s$ is the volume of object in water and $V_{i}c$ is the volume of the ice block.

Now according to question :

$\frac{V_s}{V_{i}c}=\frac{{\rho }_b}{{\rho }_w}$

$\frac{V_s}{100}=\frac{0.9}{1}$

$V_s=90cc$

Hence, the volume of inside the water is 90 cc