$6\mathrm{.}4$ A Dean$-$Stark extraction is performed on a North Sea chalk core plug sample, which extracted $5\mathrm{.}77c{m}^3$ of water. The core plug has a porosity of $36\mathrm{.}1\%$ and a bulk volume of $24\mathrm{.}5c{m}^3.$ The wet and dry weights of the sample are $50\mathrm{.}64$ and $42\mathrm{.}33g,$ respectively. The gas, oil, and water densities are $0\mathrm{.}001,0\mathrm{.}85,$ and $1\mathrm{.}035\frac{g}{c}{m}^3,$ respectively. Calculate the gas, oil, and water saturations in the core plug sample.