
Explanation
Surface Area to Volume Ratios in Elongated Cells Steps: - Model both cells as cylinders using diagram dimensions: palisade mesophyll (tall, ~80 μm height, ~10 μm radius); columnar epithelial (shorter, ~25 μm height, ~8 μm radius). - Calculate volumes: palisade V = π(10)²(80) ≈ 25,133 μm³; columnar V = π(8)²(25) ≈ 5,027 μm³. - Calculate lateral surface areas (key for diffusion): palisade SA ≈ 2π(10)(80) = 5,027 μm²; columnar SA ≈ 2π(8)(25) = 1,257 μm². - Compute ratios: palisade SA/V ≈ 0.20; columnar SA/V ≈ 0.25 (higher in columnar due to shorter height relative to radius). Why C is correct: - Surface area to volume ratio (SA/V) is greater in columnar cell because its shorter, stockier shape minimizes volume relative to exposed surface, enhancing diffusion efficiency per the SA/V formula. Why the others are wrong: - A: Increased surface area aids diffusion but does not reduce distance to cell center; that's determined by cell diameter. - B: Palisade surface area (~5,027 μm²) exceeds columnar's (~1,257 μm²) by ~3,770 μm², not 50 μm. - D: Palisade volume (~25,133 μm³) exceeds columnar's …
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