Center of mass of a half-ball

1. Nov 12, 2006

CaptainZappo

Hi, I've been working on the following question for a little while. I've looked it over several times and I can't find any obvious (to me anyway) errors in my work. Would you please scan it through and let me know if I am correct or, if not, please guide me in the right direction so I can try again.

I have attached a scanned copy of the question and my work.

-Zachary Lindsey

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Last edited: Nov 12, 2006
2. Nov 13, 2006

HallsofIvy

Staff Emeritus
I don't see anything wrong with it.

(Except that you really don't need to integrate to find the volume of the hemisphere: it is (1/2)(4$\pi$)!)