A dam has a rectangular base 1400 meters long and 160 meters wide. Its cross-section is shown in the figure below. By slicing horizontally, set up and evaluate a definite integral giving the volume of material used to build this dam. Call the width w and the height h. | 10m | 160 m dh m³ 150 m Į The definite integral describing the total volume over all slices is ,

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...
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A dam has a rectangular base 1400 meters long and 160 meters wide.
Its cross-section is shown in the figure below. By slicing horizontally,
set up and evaluate a definite integral giving the volume of material
used to build this dam. Call the width w and the height h.
| 10m |
160 m
dh m³
150 m
Į
The definite integral describing the total volume over all slices is
J
Transcribed Image Text:A dam has a rectangular base 1400 meters long and 160 meters wide. Its cross-section is shown in the figure below. By slicing horizontally, set up and evaluate a definite integral giving the volume of material used to build this dam. Call the width w and the height h. | 10m | 160 m dh m³ 150 m Į The definite integral describing the total volume over all slices is J
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