Another cylinder if you dissect it horizontally. In other cases, the name is unknown.
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Another cylinder
Dome
If you cut a rectangle in half you wouldn't get a solid figure at all, since a rectangle is a plane figure. If you made a straight line cut you would get either a triangle or a quadrilateral of some variety depending on exactly how the cut was made.
A rectangular prism or a cuboid.
you cut it into regular solids then figure out those then add them together