Question

A sphere is floating in water its $\frac{1}{3}rd$ part is outside the water and when the sphere is floating in unknown liquid, it's $\frac{3}{4}th$ part is outside the liquid than the density of the liquid is

• A. $\frac{4}{9}gm/cc$
• B. $\frac{9}{4}gm/cc$
• C. $\frac{8}{3}gm/cc$
• D. $\frac{3}{8}gm/cc$

Answer 1

The correct option is C $\frac{8}{3}gm/cc$

volume of liquid inside the liquid1=2/3rd of total volume

volume of liquid inside the liquid2 = 1/4th of total volume

density of liquid= (2/3)/(1/4) = 8/3 g/cc