A water reservoir has the shape of a right circular cone with its circular base of radius R = 160 m at ground level (z = 0m). Rain fills the reservoir over the winter; when full, the reservoir depth is h = 70m. In summer, water from the reservoir is pumped up to ground level for drinking, irrigation, etc. At the end of the summer, the volume of water left in the reservoir is only 3/7 of its full capacity. %3D (a) Find the depth of the water in the reservoir at the end of the summer. Answer: Depth = 52.776 m (b) Find the total work done to lift water out of the reservoir during the summer. Answer: W = 54461207640 (Recall the density of fresh water. p = 1000 kg/m)

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