A hollow wooden cylinder of height A, inner radius R and outer radius 2R is placed in a cylindrical container of radius 3R. When water is poured into the container, the minimum height H of the container for which cylinder can float inside freely is

• A. \[\frac{h{{p}_{water}}}{{{\rho }_{water}}+{{\rho }_{wood}}}\]
• B. \[\frac{h{{\rho }_{wood}}}{{{\rho }_{water}}}\]
• C. h
• D. \[\frac{{{h}^{2}}}{R}\]