A uniform cylindrical block of wood floats in water with one-third of its height above the water level, in a liquid of relative density 0.8, what fraction of its height will be above the liquid level?

A.

\(\frac{1}{6}\)

B.

\(\frac{1}{5}\)

C.

\(\frac{1}{3}\)

D.

\(\frac{4}{5}\)

E.

\(\frac{5}{6}\)

Correct answer is E

Height inside H2O = \(\frac{2}{3}\)

R.d = \(\frac{\text{height inside}H_2O}{\text{height inside liquid}}\)

0.8 = \(\frac{\frac{2}{3}}{X}\)