The Napkin Ring Problem
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- čas přidán 13. 08. 2017
- Brain Candy Live FALL TOUR: www.braincandylive.com/tickets
The Curiosity Box: www.curiositybox.com/
LINKS TO LEARN MORE BELOW!
my twitter: / tweetsauce
Adam and I (but mainly Adam) making a kendama: • Adam Savage and Vsauce...
Orange Oil: en.wikipedia.org/wiki/Orange_oil
Napkin Ring Problem: en.wikipedia.org/wiki/Napkin_...
Cavalieri's Principle:
schoolyourself.org/learn/geom...
en.wikipedia.org/wiki/Cavalie...
www.cut-the-knot.org/Curriculu...
BIG THANKS:
Eric Langlay stayed up all night with me so that this video could come out today. MUCH LOVE / ericdraven30
Grant from 3Blue1Brown helped me wrap my head around this topic: / @3blue1brown
music by
Jake Chudnow: / jakechudnow
and via AudioNetwork: www.audionetwork.com - Zábava
Sorry Napkinheads, but the solid shown from 0:18 to 0:24 is not a proper mathematical "napkin ring." It shouldn't have flat faces on the top and bottom. That's a mistake I missed in my rush to export this episode before my flight to Montreal this morning :( But I'm glad to be in Montreal! I'm here working on an episode about the power of suggestion ...
Vsauce first
first
That's okay we love you anyways!
Vsauce not good enough 😡
Vsauce hey Vsauce overused meme here
*What I learned from this video: Orange oil is flammable.*
i still have no idea what orange oil is
Abi Rizky when you squeeze the OJ peel.
what did you do with your childhood? also corn chips are vey flammable
whoa, didn't think I'd find you here, Alex
A. Lee Composer Pretty much lol 😂😂😂😂😂🤣🤣
Vsauce you should do a face reveal.
lol
Not until 15M subscribers tho
wtf is your channel it's lowkey genius.
Setting Things Down u legend
Zack Irvine s
I feel like “orange oil is flammable” is going to be important in some obscure future event in my life
Well, yeah.
Like when you'll be burning and try to remove the fire from your body by jumping in the orange juice swimming pool you just bought last week and remember it will juste make things worse.
@@Acquies Almost happened to me ngl
@@jeremiahlopez1791 Gosh what happened
@@Acquies I jumped in my apple juice pool instead
"But currently, we're talking about balls and coring them"
Best sentence of the year
0:50 when u walk into a spiders web
Vsauce is just a giant meme at this point
@@scotty9173 his name is michael
@boognish4ever _ I know that... but vsauce is more direct and well known and easier to just write out instead of "michael stevens".
😂😂😂for real
@@sebb7162 stfu
3:04 why is nobody talking about that INCREDIBLE seamless transition!
Lovely transition
You are
Because nobody cares. That is expected with a video coming from a channel of this caliber
@@GerstBladeworks yep
because noone noticed it
Watching VSAUCE is always fun, but it’s even better now that I understand all the math he’s using 😅
if you pretend like you understand it then you MIGHT understand it
I’m so confused but at the same time I am envious of those able to completely understand this. I love to learn even when I don’t fully understand what I’m being told, and I accept this :/
Technically, the math involved here is only at the level you'd learn in a highschool trigonometry class.
To be sure, it's not immediately intuitive and even if you knew how all the math involved worked that's not a guarantee you could figure this proof out on your own; but if you really would like to learn more about these kind if things, the math involved would not take very long to learn. I don't know what your education level is, but a single college level algebra class would likely cover more than anything you'd need.
As far as Vsauce videos go, this one has a fairly low bar for entry and I'd encourage you to maybe pick up a book or two talking about trigonometry if you don't feel like taking a class. Knowing about angles and some of the more involved proofs for shape structure function has helped me a lot to intuitively understand my surroundings in every day life.
It has certainly helped me to visualized objects better and increased my spacial understanding.
I wish when I did trig back in high school I paid more attention, maybe learning Calc would have been easier if I didn't botch my basics.
@@1nt3rD1ct0r We didnt have that at my school only basic math
I was in algebra 1 3x in highschool😂 Got through basic arithmetic, geo, and pre alg. Then i just hit a brick wall. My mind can understand the concept of the napkin ring and sort of the order of operations hes trying to prove to a certain point, but then i look at the equations on this paper and it starts to look like spaghetti
Maybe it's helping if you watch it bit after bit and pause to ponder. Are there any specific questions?
Police - “Vsauce your under arrest”
Vsauce - “or am I”?
Bailey Maule *police arrests themselves*
*coughs* you're
Best comment on this video
_v s a u c e m u s i c p l a y s_
Lol
Three things i understood in this video:
1. "Hey, Vsauce! Michael here!"
2. "Orange oil is flammable."
3. "And as always, Thanks for watching!"
And 0:50
@@NYQINA I didn't understand that
@@nathanrandomized3593 lol
Thank you because I was feeling so unintelligent.
I'm clearly not smart after a while he just sounded like Charlie Browns teacher but I was going to call him out on the mistake he mentioned in the comments whatever that was lol
This video has me more enthusiastic about math than any math teacher I ever had back in school
a straw has 1 hole
so folks, what have we learned from this video?
*orange oil is flammable*
Me who is barely passing math: yeh sounds about right
Me who has an 104% in pre-calc. Yeh seems legit.
We are in agreement then
None of you are Asian are you?
@@frankcastle1862 my grades are so low if I were I’d be dead by now
@@frankcastle1862 I’m an Asian but I don’t have an A don’t kill me
"it's called a napkin ring, because it looks like a napkin ring"
ah yes, the floor here is made out of the floor.
Or is it
@Philipp Haberland nah it is
It does look like a nr
Duh
Hmmm, Yes. The Napkin Ring here is made out of Napkin Ring…
oi
I was like what are the practical applications of this but that ending cleared it all up.
I think the takeaway is that you’re removing more from the bigger object than the smaller one, which is why they have the same volume
I think the takeaway of this comment is that you don't actually understand the mathematics and physics behind it......
@@Hussfromthearea
And you do?
This video is the dumbest thing I've seen yet.
@FireBeam BRO what? Yes I understand. The equation proved that the size of the sphere is not relevant, if they share the same height the volume that it would take up is the same. This guy is saying "oh he took more from the bigger one", but he needed to take more from the bigger one in order to get a napkin ring that is the same height. This concept is really interesting and if you felt this was stupid, then you should have just closed the video.
@FireBeam also if you deleted your comment, well done, cause I can't see it anymore.
For anyone else who is reading this, the guy said "And you do? This video is the dumbest thing I've ever seen yet.".
@@Hussfromthearea
The video proved that people are stupid enough to "not believe thier lying eyes", if a priest in a white coat tells them it to be true.
No wonder there has barely been any advancement since WW2
0:50 My new favorite clip on the internet
Yeah its your favorite, but right now we’re talking about balls and coring them.
@@fr3e. lol
I also like the way he says we are talking about balls
@@Goomba456 i mean, we are
@@fr3e. What a coincidence, i readed the comment at the same time when michael was saying this.
“I’m Renata Bliss, your freestyle dance teacher.”
0:50
Oh my fucking God I forgot about that video
Oooooh so that's what she said her name was, holy fuck I can now die in peace
But right now we're talking about balls
Reminded me of Gina Linetti from B99.
nice
This channel has been such a positive source of comfort in my life for a long time. Whether I completely understand all the topics or not it's entertaining and it's educational and I love it and everyone involved in the process. I've decided I'm getting a vsauce tattoo
Vsource of comfort 🤭
okay the fact that two people from my childhood are going to be TOGETHER (not that they haven't been before) live I want to go, but time and money man... Its a hard thing. Thank you Michael for your videos, you genuinely taught me a lot. Same to Adam Savage you guys are truly the reason I know more today than I would if I was born 10 years earlier.
when you just realized you voluntarily watched an entire math lesson
Wait.. this isn’t about Napkins you wrap around your finger and then tie it to make it look like a ring?!??!
jooooojoooooo
*oh no*
@Za Worudo Seriously, just out of curiosity, what country are you in? Because we were doing basic trigonometry at 13 years of age.
Edit: I'm from India
Speed Wagon Is best waifu even in girl form
0:49 Micheal dancing is the best thing i've ever seen today.
The fact that you said "ever seen today" bothers me
@@emil_st1 shit you're right. Now it bothers me too xD
That’s the most 2011 dance ever
Looked like something out of Don’t Hug Me I’m Scared
It’s so... chaotic.
Came for a Vsauce video, stayed for the Numberphile video
Wow I never felt more smarter after being able to understand properly a math equation in a Vsauce video. It's actually really simple maths. That particular subject literally CARRIED my marks for my exams. I was just shy of a A1 but a A2 is alright.
"Yay...with teeth". That's how I'll express my excitement from now on.
correct’o my friendo
Yay 😬
😁---"By the way, orange oil is flammable."
i love this science teacher he never gives us homework
WARNIG:worlds worst comment
Alhala omg yes
Tammi Tacinelli yep, your comment really does suck.
I mean, most of this video is math...
Siren7 No, you're right. It is math. Not just technically.
SanicDaHergedog Yeah.
Wow! Math is actually crazy. When I was a kid I hated math at school, but the more I the more amazed I am by it. Thank you, Michael
If I could I would superlike this video. Stunning realization visualized in such a clean way. Thank you Michael!
0:50 I expected Michael to dance exactly like that
same
Shut up we all know you did it (also I'm not trying to be mean by this I'm just sayin' we al know ya' lyin')
Edit:why now does it seem like "ya'"and" lyin'"seem like good signs in math.
I like watching him and always learn something new and find the topics interesting. I learned 2 things this time with regards to the napkin ring video; how much algebra starts hurting my head eventually, and nothing at all.
0:39 therefore you can basically hold an entire reverse halo ring
0:50 when your mom makes pizza rolls
Why has nobody replied to this?
Hilarious
I actually laughed out loud when I saw this comment
K_Dawg 993 GENIUS
Kakakakakakakakakakakakakakakakakakakakakakakakakakakakakakkakakakakakkakakakakakakakakakakakakkakakkaakakakakakakakakakakakakakakak
this legitimately helped me with a 3rd year applied calculus final in my mechanical engineering degree. question asked about the volume of a napkin ring of the determined height and instead of going through complicated calculus to find the answer i just found the volume if a sphere of the "same height"
--- Very cool of you Micheal !:D (with teeth)
How did you get that one right when the volume of a napkin ring is (1/6)pi h^3, which clearly is not the volume of a sphere? You had to do something fairly clever. Please elaborate.
@@EliteTeamKiller2.0 If you have a napkin ring of height h taken from a sphere with radius R, the volume of that napkin ring will only depend on h. So you can just let h = 2r, so that the height of the napkin ring is the same as the height of the sphere, so then no volume is cut out of the sphere. (Edit: typo)
@@Mr.D.C. I'm too stupid too understand whatever you just stayed
@@keeyandameen1688 if the napkin ring of a sphere is as tall as the sphere... The napkin ring is the whole sphere. There's no middle cut out.
@@vega0727 I'm still confused ;-;
Long time fan! (~13 years) and I’m finally grown enough to have my own curiosity box subscription! (Just subscribed) thank you for half a lifetime of amazing content ❤️
I love how intuitive he makes some of the concepts of trigonometry.
0:50 *_Those are some lit dance moves you got there, kiddo_*
I've never seen Vsauce like a comment before lol
they obviously caught (on fire) his attention.
Nirad802 hahaha
Nirad802 ooooh love from the creator
I laughed at this comment
I've noticed a trend.
You started with interesting, general science topics, mixing in a little philosophy here and there to capture the viewers attention.
Now you're moving toward more technical, more applicable knowledge.
It's almost like you're trying to educate us.
Well, he's failing on those who don't already know it, and succeeding on those who do, which is redundant.
KWG he is
@Na Zhao: Anyone who finished elementary school should be able to follow a proof like the one in the video and all of the Vsauce content (he doesn't even assume the viewer knows the Pitagorean theorem). To keep the content interesting, Michael can't afford to assume the viewer is even less educated (like explaining what a square root is and such).
true
Does the pitagorean theorem come with tzatziki sauce or hummus in it?
I just found this channel, like a week ago and I love this guy
Hi Michael, 4 seconds from the video start and I’m smiling. I really enjoy your fun and informative videos. Than you!
0:50 When Fly’s keep landing on you
Legendary.😂
Its gonna be buzzzzy
*late reaction*
LMAO
Doesn’t matter how many times I see the 0:50 Time stamp I laugh
🤣🤣🤣🤣🤣😭😭😭😭😭😭😭
0:50 HOW IT FEELS TO CHEW 5 GUM
Stimulate your senses
"im outta gum"
There are so many 0:50 comments and I’ve clicked the time in the comment and snorted at every one of them. That clip is pure gold.
Stimulate your senses
This comment is underated
The transition at 3:04 is one of the coolest that I’ve seen in awhile.
Really satisfying ASMR to play in background during tasks!!
Soap: kills 99.98 % of germs
other 0.02%: 0:49
this had me in tears i dont know why
It would actually be 😱😱😥😥😭😭😭
Watching it on 1.5x speed makes this even funnier
😂😂😂
LMAO
0:50 when the invisible man whispers in your ear
@maddy likes sloths thanks for replying to a 4 month old comment
Bees
I'm the one who gave you the 69th like, have fun.
@@russellmenezes3355 Someone unliked it, but I liked it again! :)
@@oliveroates hi
these shows are brilliant.
Such a great video! I love watching your content. So amazing! Keep it up Vsauce!
*is discussing napkin rings*
“By the way, orange oil is flammable”
*continues discussing napkin rings*
for real lmao, it's bizzare
Yes, that's completely out of character for him. I was expecting a complete change of topic at that point 😞
"It's gonna be busy. But right now we're talking about balls."
- Vsauce, 2018
Omg actually 2017 mate
And -hard- coring
( ͡° ͜ʖ ͡°)
Ouch!😂
This math lesson brought me straight back to my school days. Thanks Vsauce
"It is called 'napkin ring' because, it looks like a napkin ring"
Perfectly explained, VSauce
boi, you cant be throwing math problems like that at me when I haven't been in school in 5 years. I nearly had an aneurism
Pickpocket welcome to the interwebz
I love this kind of video, it captures that feeling, that after looking at a problem for a while, and solving equations, you find a fascinating, counter-intuitive fact. In this case, the sphere's radius cancelling out.
And all of the math used in this video is simple, high-school (or even middle-school)-level math - Subtract terms from both sides, square or take the square root, use the Pythagorean theorem, BAM, you got a result
Leaving a reply under it seems every damn comment. Dude Why are You so pathetic, come on, take a look in the mirror. You are pathetic :DDD
hahaha 😂😂😂😂
swagnemite
Lol you're a PewDiePie fan.
0:50 when your favourite song comes up in the party
0:51 but now were talkin' about balls.
AngleSum Doesn’t matter how many times I see the 0:50 Time stamp I laugh
Octo Ringo I have here two napkin rings from very differently sized spheres
Vsauce never stops to amuse me....
8:47 with teeth
1:32 “by the way, orange oil is flammable” 🤣
heroperse.
It was funny because of how Vsauce went off-topic, Tillamook wasn't denying orange oil is flammable. You seriously need to get a social life and learn how humans communicate with each other.
ZepG He never said he was denying it
Human Person *COMBUSTIBLE LEMONS*
it sounds like dried orange peal might be a good fire starter. Probably more eco-friendly than lighter fluid for starting bonfires and BBQs.
It came out of nowhere and was irrelevant to the video.
0:50 me walking out of school on friday
lul
I don't believe it
Vsauce's video with no existential crisis
"but were talking about BALLS"
Me: *Closes eyes in class* 3:05
Me: *Looks up* 8:45
😭😭😭😂😂😂🤣🤣🤣🤣🤣🤣😭
Why does this have no likes it's golden
Nathan Escobedo thanks, I have no idea 😂👍
it also sounds like he says "let's calculate area.... with teeth"
Can relate 😂
Nice transition at 3:04
yeah that was pretty clean
even this also at every topic
Loved the vibraslap in the background, hardly anyone uses that instrument.
IKR
For a second, I thought the solar eclipse mentioned at the end of the video was talking about the one about to happen in a few days, not the one that happened years ago. That was a bit weird lol
I was in Salem, OR at my folks’ house for that eclipse. It was incredible, and a singularly unique experience.
0:50 “I am an alpha male.”
No, Sir. You're not an alpha male. You are considered to be a beta male. Just like Albano
deadpoolbxm He didn’t say that tho
Sicko mode
yessir
andrew 🤦♂️
So, taking this to it's logical limit, does this mean the exact volume of any napkin ring is equal to the volume of a sphere with a diameter equal to the height of the ring?
Well that comment was better than this whole video.
Yes. Wow. The sphere is like a napkin ring with an infinitely small hole in it.
yes! such a sphere is a 'napkin ring' with an infinitely narrow cylindrical hole through its center. Great for when you don't want your one-dimensional napkins to blow away.
Vsauce lmao
OldRed91 thats the smartest comment i have seen on youtube
9:36 The view of the eclipse from "Organ" was amazing.
Okay, I didn’t know what to expect from this video based on the title. This was awesome.
This was the most interesting surprise math lesson I’ve ever had.
(You heard a something rustling in the bushes)
(It jumps out at you!) (it’s a surprise math lesson!) “ hey! Vsauce, Michael here “
Modocrisma its actually geometry 9th grade 😉 im in 10th grade lmao soo
KrashSyteGaming wait what? Are you in america? In my country we learn it at 7th grade
Ikr, that's amazing, and somewhat useless in normal life means.
0:50 is the reason why I subscribed to Vsauce
A vsauce video with actual step by step math proof. Didn't remember at all about this one. Kinda different but quite the same as the others. I loved it.
nothing like going back and watching Vsauces old videos
By the way, orange oil is
F L A M M A B L E
-patrick- *wOw*
by the way, I'm a pyromaniac
🅱️
Is my orange juice flammable
Yes
0:50: 4 year old me explaining how to beat someone in a fight.
Yellow Slug w h e e z e
Brynn C Is this sarcasm? (=
Yellow Slug No....or is it? *vsauce music starts to play*
“It’s gonna be busy.”
PUNCH PUNCH PUNCH JUST PUNCH👊
Let's say you're sitting at a table during a dinner party. Nobody has touched their utensils yet. Now, do you take the napkin ring on the left, or the napkin ring on the right?
M-Mr. President?
right because im right handed
none because the parties I go to probably don't have napkins let alone napkin rings
First thing that allowed me to fall asleep for a moment tonight ✨️
0:49 JESUS CHRIST MICHEAL CALM DOWN
Hey dancing, Micheal Here.
let him live
Thank you, I can't believe I didn't notice that
Michael*
that's what I do when my fave song comes on
"Hey, Vsauce, Michael here."
We were the Vsauce all along.
Arkham Sans I noticed that not to long ago
Michael confirmed dis
Lol
Here Vsauce. Hey Micheal.
That took ya'll a while. Welcome.
that shot of Michael dancing at brain candy live gives me life
This video is sponsored by opera gx
Vsauce uploaded.
Or did it?
*Vsauce music kicks in*
😁😀
jesus christ you are everywhere :D
Tell Me This *he
Jace Chudnow music, actually
Is math related to science ?
"oh btw orange oil is flammable" 😂😂
Yeah we watched the video too
H A N N A if you're cross about something don't take it out on random commenters...
Omega_ Jay I learned that from cocktail videos lol
czcams.com/video/sXF5vuStJV8/video.html
I know it’s too late at night when I decide to watch a VSauce video. Nothing again you Michael, I just never wanted to do anything with math again in my life, and yet I somehow always end up back here.
Sometimes i wish micheal was my science teacher
0:50 when u got a spider on u
A M A Z I N G
No one like this comment! That's an *ORDER!* Keep it like that
♋♋♋
☠️☠️
Yea
Damn you.... lol
I want Michael to be my uncle and bring up these crazy facts at the dinner table.
Dinner table forever
Doesn’t everyone?
I want Michael to be my uncle and do what mine does to me daily ;)
@MarsoloX hey Vsauce! Michael here, what happens when a male reproducts with another male?
I'm the crazy uncle
Hello there! I just finished watching the video on "The Science of Awkwardness" by Vsauce and I must say, it was truly fascinating. The way the video tackled the subject of awkwardness from a scientific standpoint was very enlightening.
I found the part about "The Spotlight Effect" particularly interesting, as it explained why we often feel like we're being observed or scrutinized even when we're not. The experiments and studies presented in the video really helped to drive home the point.
Overall, I thought this was a well-made video that was both informative and entertaining. It's great to see content creators using their platform to spread knowledge and understanding about the human experience. Thank you for sharing this video with me!
"but right now we're talking about balls, and coring them"
vsauce out of context moment
“Right now we’re talking about balls”. 0:51
-Michael, 2017
Bruh
69th like
Men who get 2-3 hours more sleep on average have significantly larger testicles.
Thats an actual fact btw.
@@the_original_Bilb_Ono I do not know what to do with that information-
Ria Love become a sloth
Philosophers after finding the meaning of life: YAY with teeth
Tube
What do you mean "with teeth"?
@@the_fifth_letter 8:42
@@95Titanium Lmao Thank you! XD
😬
This idea and the math just blew my mind
He's on point. Great demo.
Everyone in the comment section saying "i learned this in 8th grade" or "this is pretty much high school geometry" while I'm here like "what the actual fuck is a napkin ring?"
Its a ring you put around a rolled up cloth napkin to keep it rolled up.
John Carter LOL
It's the ring to keep napkins looking all fancy and such. You know, when you go to those high-end, expensive as fuck restaurants.
Senif
Your not alone
Wtf is a napkin ring
Until I looked at comments
That is literally the only thing i understood about this video.
0:50 when you blow someone’s mind by telling them orange oil is flammable.
Its kinda obvious, most oils are flammable.
And actually, if you go through all the calculus (which I did because calculus = fun), or if you just make the insight that h=2r if the height of the napkin ring is the same as the sphere (and therefore the same volume), you can find out pretty easily that the formula for the volume is simply (pi/6)*h^3.
You make a great teacher, Michael! (:
I really just want to know how he peeled that orange.
kellieveltri magic
with a napkin ring :)
A knife
he use his maths squared
Black magic
*”yay...... with teeth”* 😂
*"But what's does this mean for you?"*
You got me at the end! Thanks
I saw this video a long time ago but never forgot it. Now I’ma math tutor and I bring it up with my students every so often. Although I did forget this version of the explanation, and so I’d have to use calculus to prove it, which I imagine must have confused the younger kids.