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The trough shown below has a length of 5.1 m. All cross-sections parallel to the vertical ends are parabolic with a width of 0.82 m at the top and a height of 0.71 m.

The trough shown below has a length of 5.1 m. All cross-sections parallel to the vertical ends are parabolic with a width of 0.82 m at the top and a height of 0.71 m.

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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The trough shown below has a length of 5.1 m. All cross-sections parallel to the vertical ends are parabolic with a width of 0.82 m at the top and a height of 0.71 m. Answer the following. Round your answers to at least 3 significant figures and include the units. You should be able to find the answers without a computer. a. Find the capacity of the trough. Volume = 1.98 m^3 b. Find the volume of the water inside the trough if the depth of water is 0.29 m measured from the lowest point. Volume 0.517 m^3 c. Find the depth of water if the volume of water inside the trough is 1.56 m³. Depth =
Transcribed Image Text:The trough shown below has a length of 5.1 m. All cross-sections parallel to the vertical ends are parabolic with a width of 0.82 m at the top and a height of 0.71 m. Answer the following. Round your answers to at least 3 significant figures and include the units. You should be able to find the answers without a computer. a. Find the capacity of the trough. Volume = 1.98 m^3 b. Find the volume of the water inside the trough if the depth of water is 0.29 m measured from the lowest point. Volume 0.517 m^3 c. Find the depth of water if the volume of water inside the trough is 1.56 m³. Depth =
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