Plotting Intersecting 3D Regions in Maple

Question

I am brand spanking new to Maple (just downloaded tonight) and I'm also taking a course in multivariable Calculus. One of the reasons I downloaded Maple was because I'm having an extremely difficult time visualizing some of my problems in three dimensions.

A lot of my homework problems center around a region being bound by something like a parabolic cylinder, a plane, and maybe something like the xy-plane. In other situations, it's the intersection of two parabolic cylinders or something like that.

This is an example of one of my problems:

Find the volume of the wedge-shaped region contained in the cylinder $$x^2 + y^2 = 16$$ and bounded above by the plane $$z=x$$ and below by the xy-plane.

I'm not looking for how to solve the problem (I already have) I would just like to know how to graph the "wedge" and only the wedge using Maple. I would greatly appreciate any help or insight!

Answer 1

Did you meant something like this?

plot3d(x, x=0..sqrt(16-y^2), y=-4..4, filled=true,
       style=patchnogrid, labels=["x","y","z"]);