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They all have cross sections that remain constant when intersected by a plane perpendicular to their lengths.
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A circle. (or approximately a circle if you look closely the mountains and valleys that the cross section cuts through disturb the circle). a mathematical sphere will give a mathematical circle at all cross sections.
All cross sections of a square pyramid that are parallel to the base are squares
Any way you slice the earth, you get a chunk whose outline is a circle. (or approximately a circle if you look closely the mountains and valleys that the cross section cuts through disturb the circle). a mathematical sphere will give a mathematical circle at all cross sections.
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A trapezium, except that when it goes through the apex, it becomes a triangle. If the pyramid is a right pyramid, then the cross sections will be isosceles.
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They all have cross sections that remain constant when intersected by a plane perpendicular to their lengths.
go f-bomb y
Every solid. All you need is the intersection with a plane parallel to the base.