**Surface-to-Volume Ratio of Sample Cells** 1. **Equations Provided:** - For a Bacillus: - Surface Area (SA) = \(2\pi rh + 2\pi r^2 = \pi d (d + h)\) - Volume (V) = \(\pi r^2 h\) - For a Coccus: - Surface Area (SA) = \(4\pi r^2\) - Volume (V) = \(\frac{4}{3} \pi r^3\) *(Note: \(r\) = radius, \(d\) = diameter, \(h\) = height, \(\pi\) = 3.14)* 2. **Table Overview:** | **Organism** | **Cell Morphology** | **Surface Area** (\(μm^2\)) | **Volume** (\(μm^3\)) | **Surface-to-Volume Ratio** | |--------------|----------------------|----------------------------|----------------------|------------------------------| | | Bacillus | | | | | | Coccus | | | | 3. **Instructions:** Choose a coccus and a bacillus from the organisms you observed and calculate their surface-to-volume ratios. Consider the coccus to be a perfect sphere and the bacillus to be a cylinder. Use the equations supplied. 4. **Task:** Consider a coccus and a rod of equal volume. - Which is more likely to survive in a dry environment? Explain your answer.
**Surface-to-Volume Ratio of Sample Cells** 1. **Equations Provided:** - For a Bacillus: - Surface Area (SA) = \(2\pi rh + 2\pi r^2 = \pi d (d + h)\) - Volume (V) = \(\pi r^2 h\) - For a Coccus: - Surface Area (SA) = \(4\pi r^2\) - Volume (V) = \(\frac{4}{3} \pi r^3\) *(Note: \(r\) = radius, \(d\) = diameter, \(h\) = height, \(\pi\) = 3.14)* 2. **Table Overview:** | **Organism** | **Cell Morphology** | **Surface Area** (\(μm^2\)) | **Volume** (\(μm^3\)) | **Surface-to-Volume Ratio** | |--------------|----------------------|----------------------------|----------------------|------------------------------| | | Bacillus | | | | | | Coccus | | | | 3. **Instructions:** Choose a coccus and a bacillus from the organisms you observed and calculate their surface-to-volume ratios. Consider the coccus to be a perfect sphere and the bacillus to be a cylinder. Use the equations supplied. 4. **Task:** Consider a coccus and a rod of equal volume. - Which is more likely to survive in a dry environment? Explain your answer.
Human Anatomy & Physiology (11th Edition)
11th Edition
ISBN:9780134580999
Author:Elaine N. Marieb, Katja N. Hoehn
Publisher:Elaine N. Marieb, Katja N. Hoehn
Chapter1: The Human Body: An Orientation
Section: Chapter Questions
Problem 1RQ: The correct sequence of levels forming the structural hierarchy is A. (a) organ, organ system,...
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Transcribed Image Text:**Surface-to-Volume Ratio of Sample Cells**
1. **Equations Provided:**
- For a Bacillus:
- Surface Area (SA) = \(2\pi rh + 2\pi r^2 = \pi d (d + h)\)
- Volume (V) = \(\pi r^2 h\)
- For a Coccus:
- Surface Area (SA) = \(4\pi r^2\)
- Volume (V) = \(\frac{4}{3} \pi r^3\)
*(Note: \(r\) = radius, \(d\) = diameter, \(h\) = height, \(\pi\) = 3.14)*
2. **Table Overview:**
| **Organism** | **Cell Morphology** | **Surface Area** (\(μm^2\)) | **Volume** (\(μm^3\)) | **Surface-to-Volume Ratio** |
|--------------|----------------------|----------------------------|----------------------|------------------------------|
| | Bacillus | | | |
| | Coccus | | | |
3. **Instructions:**
Choose a coccus and a bacillus from the organisms you observed and calculate their surface-to-volume ratios. Consider the coccus to be a perfect sphere and the bacillus to be a cylinder. Use the equations supplied.
4. **Task:**
Consider a coccus and a rod of equal volume.
- Which is more likely to survive in a dry environment? Explain your answer.
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