How Much Ice Does Antarctica Really Hold?

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Antarctica's ice cover is estimated using its semicircular shape with a radius of 2000 km and an average thickness of 300 m. The user attempted to calculate the volume of ice using an incorrect formula, leading to a result of 5.0 x 10^30 cubic centimeters. The correct approach involves calculating the area of a semicircle, which is half of π times the radius squared. The discussion highlights the need for accurate formulas in physics calculations. Clarification on the correct area formula is essential for determining the ice volume accurately.
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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.
 
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The relevant equation is wrong.
Area of the circle is π*R^2
Area of the semicircle is ...?
 
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