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- May 24th 2011, 02:34 PMtransgalacticvolume of half ball mmn 15 4a
- May 24th 2011, 03:04 PMMondreus
I suggest you switch to spherical coordinates as soon as possible. Review the section in your book on spherical coordinates. In particular, you should know how to describe half a sphere and that the Jacobian in spherical coordinates is . In this case you'll have (assuming the ball is as you've graphed it).

Spherical coordinate system - Wikipedia, the free encyclopedia - May 24th 2011, 03:58 PMtransgalactic
i tried to solve it like this but i got a bad resolt where is my mistake?

http://i55.tinypic.com/28a14i1.jpg - May 24th 2011, 04:05 PMTheEmptySet
- May 24th 2011, 04:27 PMtransgalactic
where is my mistake why i get 0

- May 24th 2011, 04:40 PMMondreus
TheEmptySet told you where the error lies. I used the symbols from the Wikipedia article where a unit sphere is .

You have switched the limits for and . - May 24th 2011, 04:47 PMtransgalactic
i disagree

not 2 pi

correct? - May 24th 2011, 04:52 PMMondreus
I was referring to the unit sphere.

What you posted is only correct if the Jacobian for the spherical coordinates in this problem is . Again, read the Wikipedia article I linked to if you're confused about the symbols used.