The trough shown below has a length of 3.8 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 answer to at least 3 significant figures and include the unit. You should be able to find the answers without the use of computer algebra system. a. Find the volume of the water inside the trough if the depth of water is 0.41 m measured from the lowest point. Volume = b. Find the depth of water if the volume of water inside the trough is 0.49 m³. Depth =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The trough shown below has a length of 3.8 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 answer to at least 3 significant figures and include the unit. You should be able to find the answers without the use of computer algebra system.
a. Find the volume of the water inside the trough if the depth of water is 0.41 m measured from the lowest point.
Volume =
b. Find the depth of water if the volume of water inside the trough is 0.49 m³.
Depth =
Transcribed Image Text:The trough shown below has a length of 3.8 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 answer to at least 3 significant figures and include the unit. You should be able to find the answers without the use of computer algebra system. a. Find the volume of the water inside the trough if the depth of water is 0.41 m measured from the lowest point. Volume = b. Find the depth of water if the volume of water inside the trough is 0.49 m³. Depth =
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