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?

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter61: Areas Of Circles, Sectors, And Segments
Section: Chapter Questions
Problem 50A
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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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