If the second equation is correct, then the volume is infinite.

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The discussion centers on calculating the volume between two surfaces defined by the equations x² + y² + z² = 0 and z = √(x² + y²). The first equation represents a single point at (0,0,0), resulting in a volume of 0. The second equation describes a cone, but without a defined upper limit, the volume is considered infinite. Therefore, the conclusion is that if the first equation is correct, the volume is 0; if not, the volume is infinite.

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Vereinsamt
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Volume between two surfaces?

hi guys,

i hope you can help with this, how to find the volume between those surfases:

[tex]x^2+y^2+z^2=0[/tex]
[tex]z=\sqrt{x^2+y^2}[/tex]

thanks in advance
 
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What have you done so far? By the way, I think that first equation is wrong.
 
If the first equation is correct, then the answer is very simple:
Since the set of all (x,y,z) satisfying x2+ y2+ z2= 0 is the single point (0,0,0), the volume of the set is 0!
 

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