What is the volume bound by $x^2+y^2+z^4=1$? I saw this question on an old exam for my calculus course, and I can't get anything (Mathematica, Matlab, etc.) to plot me a graph of the function. I'm not quite sure how to setup the triple integral to calculate the volume of this solid.

Plotting the surface in Mathematica is straightforward:
ContourPlot3D[x^2 + y^2 + z^4 == 1, {x, -1, 1}, {y, -1, 1}, {z, -1, 1}]

 
