A fast moving hurricane produces a constant rainfall intensity of 110 mm/h for 45 min. The area consists almost entirely of sandy loam, which typically has a saturated hydraulic conductivity of 8.6 mm/h, average suction head of 110 mm, porosity of 0.45, field capacity of 0.190, wilting point of 0.085, and depression storage of 4 mm. Calculate the cumulative infiltration after 30 min, assuming ponding is continuous from the beginning of the storm. Assume the initial water content is midway between the field capacity and wilting point..