**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)
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**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.
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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