so the hole goes all the way through the cylinder and is centred. when you cut one side then open the cylinder up, what do you get? My friend told me you would get 2 rectangles, but I can't visualize that. Can anyone explain?
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Suppose you had a toilet paper tube in your hand. Now, cut it longways from top to bottom. Grab the two ends on either side of the incision you made, and pull apart. Finally, flatten the cardboard onto a tabletop. You have a rectangle; can you visualize it?
So, we agree that you can make a rectangle out of a cylinder, right?
Ok. Now, picture a Kotex cardboard applicator tube inside the toilet paper tube. What you have now, if you look at it from the top, is a "cylinder with a hole on top," or, you could say, one open-ended cylinder inside another opend-ended cylinder, right?
If, now, you dissect the Kotex tube AND the toilet paper tube at the same time, as described in the first paragraph, and flatten them both out onto a table top at the same time, you will have 2 rectangles--the Kotex rectangle on top of the toilet paper rectangle. Got it?
Anyway, its awkward trying to describe in words what a picture would do far more easily, but, if you can see in your mind's eye that which I have been trying to describe, I suspect that this is what your friend was trying to show you.
Ciao!
So, we agree that you can make a rectangle out of a cylinder, right?
Ok. Now, picture a Kotex cardboard applicator tube inside the toilet paper tube. What you have now, if you look at it from the top, is a "cylinder with a hole on top," or, you could say, one open-ended cylinder inside another opend-ended cylinder, right?
If, now, you dissect the Kotex tube AND the toilet paper tube at the same time, as described in the first paragraph, and flatten them both out onto a table top at the same time, you will have 2 rectangles--the Kotex rectangle on top of the toilet paper rectangle. Got it?
Anyway, its awkward trying to describe in words what a picture would do far more easily, but, if you can see in your mind's eye that which I have been trying to describe, I suspect that this is what your friend was trying to show you.
Ciao!
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You get one rectangle with a width equal to the height of the rectangle, and the length = thje circumference of the cylinder
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a circle and a rectangle