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The thickened sludge from previous example $5\mathrm{.}71$ is to be digested anaerobically in a standard$-$rate digester. The sludge is known to be about $70$ percent organic and $30$ percent inorganic in nature. Approximately $60$ percent of the organic fraction is converted to liquid and gaseous end products after a $30-$d period. The digested sludge has a solids content of $5\mathrm{.}0$ percent and must be stored for periods of up to $90$ d$.$ Determine the volume requirement for a standard rate, single$-$stage digester.