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juelchasse
24.07.2019 •
Mathematics
The assumptions made are: the gas molecules from caesar's last breath are now evenly dispersed in the atmosphere. the atmosphere is 50 km thick, has an average temperature of 15 °c , and an average pressure of 0.20 atm . the radius of the earth is about 6400 km . the volume of a single human breath is roughly 500 ml . perform the calculations, reporting all answers to two significant figures. calculate the total volume of the atmosphere.
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Ответ:
Step-by-step explanation:
we have given thickness of atmosphere =50 km
radius of earth =6400 km
average temperature of atmosphere=15°C
Average pressure of atmosphere= 0.20 atm
we have to calculate the volume of atmosphere
so the we have to calculate the volume of atmosphere = ( volume of earth +atmosphere) - volume of earth
volume of atmosphere =![\frac{4}{3}\times\pi \times \left ( 6400+50 \right )^{3}-\frac{4}{3}\times \pi\times 6400^3](/tpl/images/0128/3585/52a0c.png)
=![2.6\times 10^{19}m^{3}](/tpl/images/0128/3585/3cb60.png)
Ответ:
Calculate the volume of the empty cone.
V₁ = (1/3)π*(6 in)²*(10 in) = 120π in³
Calculate the volume of the sphere.
V₂ = (4/3)π*(1.5 in)³ = 4.5π in³
The volume that can be filled with flavored ice is
V = V₁ - V₂ = 115.5π in³ = 362.85 in³
Th volume is 115.5π in³ or 362.9 in³ (nearest tenth)