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Estimates and orders of magnitude: Four astronauts are in a spherical space station. (a) If, as is typical, cach of them breathes about 700 cm of air with each breath, approximately what volume of air (in cubic meters) do these astronauts breathe in a year? (b) What would the diameter (in meters) of the space station have to be to contain all this air? (c) With the diameter of the space station obtain from part (b), how long the air would last? (d) Suppose the space station can support 4 astronauts within the time interval obtain at part (c), how many astronauts will be required to stay in the space station for them to supply a decade worth of air to breathe?

Estimates and orders of magnitude: Four astronauts are in a spherical space station. (a) If, as is typical, cach of them breathes about 700 cm of air with each breath, approximately what volume of air (in cubic meters) do these astronauts breathe in a year? (b) What would the diameter (in meters) of the space station have to be to contain all this air? (c) With the diameter of the space station obtain from part (b), how long the air would last? (d) Suppose the space station can support 4 astronauts within the time interval obtain at part (c), how many astronauts will be required to stay in the space station for them to supply a decade worth of air to breathe?

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Estimates and orders of magnitude: Four astronauts are in a spherical space station. (a) If, as is typical, cach of them breathes about 700 cm of air with each breath, approximately what volume of air (in cubic meters) do these astronauts breathe in a year? (b) What would the diameter (in meters) of the space station have to be to contain all this air? (c) With the diameter of the space station obtain from part (b), how long the air would last? (d) Suppose the space station can support 4 astronauts within the time interval obtain at part (c), how many astronauts will be required to stay in the space station for them to supply a decade worth of air to breathe?
Transcribed Image Text:Estimates and orders of magnitude: Four astronauts are in a spherical space station. (a) If, as is typical, cach of them breathes about 700 cm of air with each breath, approximately what volume of air (in cubic meters) do these astronauts breathe in a year? (b) What would the diameter (in meters) of the space station have to be to contain all this air? (c) With the diameter of the space station obtain from part (b), how long the air would last? (d) Suppose the space station can support 4 astronauts within the time interval obtain at part (c), how many astronauts will be required to stay in the space station for them to supply a decade worth of air to breathe?
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