Volume of V: Helplessly Stuck - Any Help Appreciated!

In summary, the conversation discusses finding the volume of a given shape, specifically the volume of V: { x^2+y^2=z , x^4+y^4=1 }. The speaker is unsure of how to set up the triple integral and asks for help. The other speaker clarifies that the given surfaces define a volume and provides some information about the shape.
  • #1
sedaw
62
0
hello !

need to find the volume of V: { x^2+y^2=z , x^4+y^4=1 }


i don't know how to set up the triple integral caue i didnt find any way to understand the surface projection on the xy plane .

I would appreciate any help ...
 
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  • #2
How is the problem actually stated? I don't see that these two surfaces define a volume. Are there other boundaries given in the problem, such as the xy plane?

BTW, the first surface is a paraboloid that opens upward and whose vertex is at (0, 0, 0). The second surface is a vertical cylinder with a sort of oval cross section.
 

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