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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.