barren vigil
more background/context:
I'm currently trying to sketch the solid generated to better visualize the projection that I can use to find the outer bounds, but I'm stuck on how to figure out what this looks like.
graphing 4-x^2=y gives me a parabola opening down. the constant bounds of 2 and 3 mean that x does not surpass 2 and z does not surpass 3. but how would one put this all together to generate one solid?