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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 3 m by pumping the water to a height of 4 m above the top of the reservoir. Water weighs s800 N/m. The amount of work required to pump the water to a height of 4 m above the top of the reservoir is approximately [ (Do not round until the final answer. Then round to the nearest hundredth as needed)

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 3 m by pumping the water to a height of 4 m above the top of the reservoir. Water weighs s800 N/m. The amount of work required to pump the water to a height of 4 m above the top of the reservoir is approximately [ (Do not round until the final answer. Then round to the nearest hundredth as needed)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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 3 m by pumping the water to a height of 4 m above the top of the reservoir. Water weighs 9800 N/m. =-y The amount of work required to pump the water to a height of 4 m above the top of the reservoir is approximately| (Do not round until the final answer. Then round to the nearest hundredth as needed)
Transcribed Image Text: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 3 m by pumping the water to a height of 4 m above the top of the reservoir. Water weighs 9800 N/m. =-y The amount of work required to pump the water to a height of 4 m above the top of the reservoir is approximately| (Do not round until the final answer. Then round to the nearest hundredth as needed)
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