Relate plant tissue roles to a growing stem cross-section
Plant organs integrate dermal, ground and vascular tissues. Dermal tissues provide interfaces and protection; ground tissues include photosynthetic, storage and supporting cells; vascular tissues transport water/minerals and organic solutes. Roots, stems and leaves arrange these tissues differently rather than functioning as interchangeable cylinders.
Learning outcome: Compare initial radii 2 and 6 mm at thickness 0.4 mm. Reconstruct both annulus areas and explain why the cambium, phloem and older wood cannot be treated as one equally conducting tissue.
Starting recap
Connect plant tissues, transport, developmental signals and reproductive origins to complete quantitative evidence with explicit resource and model boundaries.
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At initial radius 4 mm and added thickness 0.4 mm, initial area is 16π ≈ 50.27 mm². New xylem area is 3.36π ≈ 10.56 mm², a 21% increase in this ideal cross-section.
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Would the same ring thickness add the same cross-sectional area around a small and a large stem?
Experiment
Compare initial radii 2 and 6 mm at thickness 0.4 mm. Reconstruct both annulus areas and explain why the cambium, phloem and older wood cannot be treated as one equally conducting tissue.
Reconstruct a secondary-xylem cross-section increment
Worked teaching model · synthetic values · Ideal circular existing wood plus an outer secondary-xylem annulus. Bark/phloem/cambium thickness excluded; area does not imply every cell conducts. New xylem formed toward inside of outward-moving vascular cambium.
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Equal ring thickness adds more cross-sectional material around a larger existing radius.
Vascular cambium adds secondary xylem inward and phloem outward; cork cambium contributes protective tissues. This ideal wood-area increment does not date a real tree or imply equal conductivity across all older wood.
Cross-section area model only. Bark, phloem and cambium thickness are omitted; not all wood is equally conductive.
| Quantity | Value | Unit |
|---|---|---|
| Initial wood cross-section | 50.26548 | mm² |
| New xylem annulus area | 10.55575 | mm² |
| Final wood cross-section | 60.82123 | mm² |
| New area relative to initial | 0.2100000 | ratio |
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Equal ring thickness adds more cross-sectional material around a larger existing radius.
Vascular cambium adds secondary xylem inward and phloem outward; cork cambium contributes protective tissues. This ideal wood-area increment does not date a real tree or imply equal conductivity across all older wood.
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For radius 3 mm and thickness 1 mm, calculate initial area, added area and fractional area increase.
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