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Part 1
We model pumping from spherical containers the way we do from other containers, with the axis of integration along the vertical axis of the sphere. Use the figure shown to the right to find how much work it takes to empty a full hemispherical water reservoir of radius 7 m by pumping the water to a height of 7 m above the top of the reservoir. Water weighs 9800 Upper N divided by m cubed.