How Much Ice Does Antarctica Really Hold?

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SUMMARY

The discussion focuses on calculating the volume of ice in Antarctica, approximated as a semicircular shape with a radius of 2000 km and an average thickness of 300 m. The incorrect formula initially used was (4/3 Pi r^3h)/2, which does not apply to this scenario. The correct approach involves calculating the area of the semicircle using the formula πR² and then multiplying by the thickness to find the volume. The final volume of ice in Antarctica is approximately 5.0 x 1030 cubic centimeters.

PREREQUISITES
  • Understanding of basic geometry, specifically the area of a semicircle
  • Familiarity with volume calculations in physics
  • Knowledge of the mathematical constant π (Pi)
  • Basic algebra for manipulating equations
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  • Research the formula for the area of a semicircle: A = (1/2)πR²
  • Learn about volume calculations for different geometric shapes
  • Explore the implications of ice volume on global sea levels
  • Study the effects of climate change on Antarctic ice melt
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Students in physics or environmental science, researchers studying climate change, and anyone interested in the geographical and ecological significance of Antarctica's ice reserves.

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Homework Statement


Antartica is roughly semicircular, with a radius of 2000km. The average thickness of its ice cover is 300m. How many cubic centimeters of ice does Antartica contain? Assume we ignore the curvature of Earth.



Homework Equations



(4/3 Pi r^3h)/2



The Attempt at a Solution



I plugged r=2.0x10^8 and 3.0x10^5 and wound up with the answer 5.0 x 10^30

I just want to check if this is right. I just started my Physics course a couple days ago.
 
Physics news on Phys.org
The relevant equation is wrong.
Area of the circle is π*R^2
Area of the semicircle is ...?
 

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