Volume between the paraboloid x² + y² = z and x⁴ + y⁴ = 1

[sedaw]

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 ...

 

[Mark44]

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.