Thought experiment: How would ocean levels change?

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SUMMARY

This discussion explores the mathematical modeling of ocean level changes based on the volume of water removed from the oceans. Participants analyze the Earth's surface area, volume of water, and the impact of removing a small volume, such as a glass of water, on ocean levels. Key calculations include the Earth's surface area (approximately 5.15 x 108 km2) and total water volume (estimated at 1.386 billion cubic kilometers). The relationship between the volume of water removed and the resulting change in ocean height is established through formulas involving the Earth's radius and surface area covered by water.

PREREQUISITES
  • Understanding of basic calculus and related rates of change
  • Familiarity with geometric formulas for surface area and volume
  • Knowledge of Earth's dimensions, including radius and surface area
  • Ability to perform unit conversions, particularly between kilometers and liters
NEXT STEPS
  • Research the total volume of water on Earth and its distribution
  • Learn about calculus applications in environmental science
  • Explore the implications of small changes in ocean volume on global sea levels
  • Investigate the effects of climate change on ocean levels and water distribution
USEFUL FOR

Students and professionals in environmental science, mathematics, and geography who are interested in oceanography and the mathematical modeling of ecological changes.

  • #31
Units Enforcer.png


caz said:
If it’s volume is 200mm ...

Busted for incorrect units. I leave the spelling enforcement to my colleagues in the Grammar Police.
 
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  • #32
kuruman said:
View attachment 274477
Busted for incorrect units. I leave the spelling enforcement to my colleagues in the Grammar Police.
200ml
 
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  • #33
caz said:
200ml
You're free to go.
 

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