Self explanatory. Our team got bored and started to have this discussion. Can’t come to a conclusion so we are putting a thread here. For every response, please state your position and explanation(even if its a counter claim). Thanks everyone.
at least colloquially cylinders have roughly equal diameters and lengths, while rods are much longer than their diameter, while disks have small lengths compared to their diameters
Here is my non-scientific in any way opinion: it doesn’t matter.
By definition, a cylinder is a “solid geometric figure with straight parallel sides and a circular or oval cross section”. This means that all of the objects in the picture are “cylinders”.
By definition, a rod is a “thin straight bar, especially of wood or metal”. This means that the second object most closely resembles a rod.
By definition, a disk is a “flat, thin, round object”. This means that the third object most closely resembles a disk.
In the end, all of the objects fit the definition of a cylinder, so you could call all of them cylinders. To my knowledge, however, there is no actual proportion of length to width for a cylinder to be scientifically considered a disk or rod either. That means you could technically call all of them rods or disks, just weirdly sized rods or disks.
That being said, people generally understand rods as long and skinny and disks as short and wide, so I would guess about 99% of people would consider the second cylinder to be a rod and the third cylinder to be a disk. If you wanted to call the second cylinder a disk instead of a rod, however, you would not be wrong, it would just be a really, really long disk (and people would probably think you are crazy).
I am just making this up, please correct me if there actually is a scientific proportion of length to width for something to be considered a disk or rod.
Pretty much with @owenl here. At the most generic, a cylinder is like a prism but with a curved rather than polygonal cross section. It is commonly limited to right circular cylinder where the cross section is a cylinder, and the prism axis is perpendicular to the cross section - and even this applies properly to all three shown in post#2.
A rod has a much greater axial length than diameter. I would rarely if ever use the designation rod unless that ratio were more than ~5:1, or if a part were cut from a much longer piece of rod stock. Rods usually, but not always, have a circular cross section. I have definitely heard people speak of square rod, and calling a piece of hex bar hex rod would not cause me any grief.
A disc/disk is a volume of revolution which is significantly larger in radius than in axial length, again about 5:1, -or- something with that shape as a convex hull. Not all discs are cylinders. Some examples: Frisbee flyers; those plastic things that adapt 45 records to a 78/LP spindle; the similar yellow things shot from some toy guns; flying saucers.