The Napkin Ring Problem
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Hey, Vsauce! Michael here! If you core a sphere; that is, remove a cylinder from it, you'll be left with a shape called a Napkin ring because, well, it looks like a napkin ring! It's a bizarre shape because if two Napkin rings have the same height, well they'll have the same volume regardless of the size of the spheres they came from! (Cool) This means that if you cut equally tall napkin rings from an orange and from the Earth, well, one could be held in your hand. The other would have the circumference of our entire planet, but both would have the same volume... I mentioned this counterintuitive fact while making a Kendama with Adam Savage. Check that video out if you haven't, or better yet, just come see us. We're bringing brain candy live...
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Hey, Vsauce! Michael here! If you core a sphere; that is, remove a cylinder from it, you'll be left with a shape called a Napkin ring because, well, it looks like a napkin ring! It's a bizarre shape because if two Napkin rings have the same height, well they'll have the same volume regardless of the size of the spheres they came from! (Cool) This means that if you cut equally tall napkin rings from an orange and from the Earth, well, one could be held in your hand. The other would have the circumference of our entire planet, but both would have the same volume... I mentioned this counterintuitive fact while making a Kendama with Adam Savage. Check that video out if you haven't, or better yet, just come see us. We're bringing brain candy live...
