A soil core cylinder has internal diameter 60 mm and length 100 mm. Moist soil mass is .48 kg and oven-dry soil mass .44 kg. Water density is $1000\,\mathrm{kg/m^3}$. Find volumetric water depth in metres per metre of soil, to two decimals.
Water mass is $.48-.44=.04$ kg, so its volume is $.04/1000=.000040$ m³. Core volume is $V=\pi(.060)^2(.100)/4=.000282743$ m³. Volumetric moisture content is the volume ratio,$\theta_v=.000040/.000282743=.14147$ m/m. Hence **0.14 m/m**.
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