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Calculation of Cell Volumes. Show all calculations in detail and include the correct conversion factors and units.

Cell/Nucleus

Human Cheek Cell Diameter

(ocular micrometer units @400 X)

Human Cheek Cell Nuclear Diameter

(ocular micrometer units @400 X)

1

28

3

2

20

3

3

15

3

4

20

2

5

25

3

6

20

3

7

17

3

8

20

2

9

17

3

10

19

2

Mean

18.1

2.7

1. Based on these examples and your previous calculation of the mean diameter of 10 human cheek cells, determine the volume of an average human cheek cell in µm^3 assuming that it is a sphere.

2. Human cheek cells are actually flattened and stacked on top of one another in what is called simple squamous epithelium. Assuming that the thickness of an average human cheek cell is 5 µm, what is the mean volume of an average human cheek cell in µm^3 ? Use the formula for a cylinder.

3. Based on your previous calculation of the mean diameter of 10 human cheek cell nuclei, calculate the average volume of a human cheek cell nucleus in µm^3. Assume it is a sphere.

4. If a flattened human cheek cell (#2) were filled only with nuclei, how many could it hold?

parameter Mean Variance Standard Deviation
Cell lenghth 155 3362 58
Cell width 86.6 759.4 27.6

5. Based on your previous measurements of the mean length and width of 10 Elodea cells, determine the average volume of these cells in µm^3 assuming they are rectangular solids. Assume that the thickness of the cell is the same as its width.

6. How does the volume of an Elodea cell compare to the volume of a human cheek cell? What is their ratio?

7. Based on your previous calculation of the mean diameter of 10 Elodea chloroplasts, calculate the average volume of a chloroplast in µm3 assuming it is a sphere.

8. How does the size of an Elodea chloroplast compare to the size of a cheek cell nucleus? What is the ratio of the two volumes?

9. If an Elodea cell were filled only with chloroplasts, how many could it hold?

10. If an Elodea cell were filled only with nuclei the same size as a cheek cell nucleus, how many could it hold?

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