$(4$ points$)$ Suppose Monongalia County, which has a population of $106,869$ is planning a new landfill that will accept the county's waste for the next $25$ years. Assume the county's residents generate an average of $2\mathrm{.}0$ kg of solid waste per person per day, which is the U$.$S$.$ average. The county plans to use a ratio of cover and compacted waste to compacted waste of $1\mathrm{.}5.$ If the density of the compacted waste will be $550k\frac{g}{m^3},$ what landfill volume is needed to accommodate the county's waste generation for $25$ years?