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The next two questions go together. 24. In principle, the number of alveoli in the two lungs can be calculated as their total volume divided by the average volume of the individual alveoli. However, individual alveoli volumes are difficult to measure accurately. Suppose that a representative individual has 2.5 L of total alveolar volume and that alveoli are spherical (in fact, they are roughly polyhedral) and 0.25 mm in diameter. The volume of a sphere is (4/3) × pi × radius³. Given this information, what is the volume of an individual alveolus in mm³ (µL)? 25. If the volume of alveolar gas is 2.5 L (2.5 × 106 µL; recall that this is shorthand for 2.5 × 106), how many such alveoli would there have to be?

The next two questions go together. 24. In principle, the number of alveoli in the two lungs can be calculated as their total volume divided by the average volume of the individual alveoli. However, individual alveoli volumes are difficult to measure accurately. Suppose that a representative individual has 2.5 L of total alveolar volume and that alveoli are spherical (in fact, they are roughly polyhedral) and 0.25 mm in diameter. The volume of a sphere is (4/3) × pi × radius³. Given this information, what is the volume of an individual alveolus in mm³ (µL)? 25. If the volume of alveolar gas is 2.5 L (2.5 × 106 µL; recall that this is shorthand for 2.5 × 106), how many such alveoli would there have to be?

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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The next two questions go together. 24. In principle, the number of alveoli in the two lungs can be calculated as their total volume divided by the average volume of the individual alveoli. However, individual alveoli volumes are difficult to measure accurately. Suppose that a representative individual has 2.5 L of total alveolar volume and that alveoli are spherical (in fact, they are roughly polyhedral) and 0.25 mm in diameter. The volume of a sphere is (4/3) × pi × radius³. Given this information, what is the volume of an individual alveolus in mm³ (µL)? 25. If the volume of alveolar gas is 2.5 L (2.5 × 106 μµL; recall that this is shorthand for 2.5 × 106), how many such alveoli would there have to be?
Transcribed Image Text:The next two questions go together. 24. In principle, the number of alveoli in the two lungs can be calculated as their total volume divided by the average volume of the individual alveoli. However, individual alveoli volumes are difficult to measure accurately. Suppose that a representative individual has 2.5 L of total alveolar volume and that alveoli are spherical (in fact, they are roughly polyhedral) and 0.25 mm in diameter. The volume of a sphere is (4/3) × pi × radius³. Given this information, what is the volume of an individual alveolus in mm³ (µL)? 25. If the volume of alveolar gas is 2.5 L (2.5 × 106 μµL; recall that this is shorthand for 2.5 × 106), how many such alveoli would there have to be?
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