Volume of a Semicircular Area? HELP

1. Jan 14, 2004

NanoTech

Hello everyone- My question is about finding the volume of a semicircular area. The radius of the semicircle is 2000km, and the thickness is 3000m? It wants cubic centimeters of ice. (this is about how thick the polar ice caps are). Thanks. ~David W.

2. Jan 14, 2004

NateTG

Half of an ice cap? If you want to deal with the curvature of the earth, it gets a bit more complicated.

$$\frac{\pi 20000000^2}{2} 300000}$$

3. Jan 15, 2004

HallsofIvy

Staff Emeritus
In general the volume of anything with a constant thickness is
"area times thickness".

For a semi-circle of radius r, the area is (1/2)pi r2.

Putting a thickness of h on that, the volume is (1/2)pi h r2.

4. Jan 15, 2004

NanoTech

ok, thanks.

5. Jan 29, 2004

boxelderbug

Hi all, I have a question about the radius. Is it just me or is the conversion of the radius off by 10. I've done this problem before and I had [(pi*200,000,000)^2/2]300000. Sorry about the notation, I'm new at this.

6. Jan 30, 2004

NateTG

Yeah, I insert small random errors to... er... make sure that people check the work, yeah that's it. Honestly, the problem is that reading problems and lot's of zero's don't mix well.