The Napkin Ring Problem 

Vsauce first

first

That's okay we love you anyways!

Vsauce not good enough 😡

Vsauce hey Vsauce overused meme here

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

lol

Not until 15M subscribers tho

wtf is your channel it's lowkey genius.

Setting Things Down u legend

Zack Irvine s

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

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 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

if you pretend like you understand it then you MIGHT understand it

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?

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

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

a straw has 1 hole

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

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.

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

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

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.

Vsource of comfort 🤭

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.

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

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

correct’o my friendo

Yay 😬

😁---"By the way, orange oil is flammable."

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'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

Legendary.😂

Its gonna be buzzzzy *late reaction*

LMAO

Doesn’t matter how many times I see the 0:50 Time stamp I laugh

🤣🤣🤣🤣🤣😭😭😭😭😭😭😭

Why has nobody replied to this?

Hilarious

I actually laughed out loud when I saw this comment

K_Dawg 993 GENIUS

Kakakakakakakakakakakakakakakakakakakakakakakakakakakakakakkakakakakakkakakakakakakakakakakakakkakakkaakakakakakakakakakakakakakakak

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.

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?

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 ;-;

this had me in tears i dont know why

It would actually be 😱😱😥😥😭😭😭

Watching it on 1.5x speed makes this even funnier

😂😂😂

LMAO

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

-patrick- *wOw*

by the way, I'm a pyromaniac

🅱️

Is my orange juice flammable

Yes

@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

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

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.

0:51 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

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 🤦‍♂️

Yes, this confused me too. I'd have to rewatch the video to be sure but i don't think he said anything about proportionally bigger cylinder for the bigger sphere. But i'm no good at math so maybe i'm missing something obvious

If the bigger sphere had a proportionally thinner core taken out, the napkin ring at the end would be taller than a proportionally bigger one. If a marble and the earth both had half their radius taken out, the earth would have more volume, but that's not the question were asking here. If you have any two napkin rings that are the same height, the bigger spheres will have bigger cores relative, which cancels out the wider radius

The only requisite for this to work is that both cylinders are the same height. If you want to take out a larger core, then you have to make the cylinder wider, but this also makes it shorter, so the two cylinders wouldn't have the same height and this property doesn't hold.

@@jafetramirez7429 Which means this is all stupid garbage math

It won't. You don't get to choose. You are constrained to a fixed napkin height.

lul

yeah that was pretty clean

even this also at every topic

Loved the vibraslap in the background, hardly anyone uses that instrument.

IKR

What do you mean?

Omg actually 2017 mate

And -hard- coring ( ͡° ͜ʖ ͡°)

Ouch!😂

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 😞

*or is it?*

Verlax noice!

What if I make a burger and a fry a napkin ring? They would have to pay the same price

this comment made my day @djenx CR

I'll have a quarter pounder with fries and a medium Dr pepper please :P

kellieveltri magic

with a napkin ring :)

A knife

he use his maths squared

Black magic

(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.

A M A Z I N G

No one like this comment! That's an *ORDER!* Keep it like that ♋♋♋

☠️☠️

Yea

Damn you.... lol

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

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👊

He probably used some kind of cookie-cutter or metal cylinder, because it didn’t seem peeled by a knife, unless he delicately pierced it first.

Maybe that perfect peel is from another orange that he totally messed up 😄

you cut the two circles to the peel, you pierce the peel from one of the circles to the other with a needle, push a small metal wire through the hole and pull it anround the orange.

With his girlfriends tongue?

Arkham Sans I noticed that not to long ago

Michael confirmed dis

Lol

Here Vsauce. Hey Micheal.

That took ya'll a while. Welcome.

DomAllStar is I'm going to go to school and bring an orange put it on a tAble then point at it and shout look out a bomb

Vsauce, arsonist here

Focusedone2325 not recommended

Was looking for this

Random!! fact.

M-Mr. President?

right because im right handed

none because the parties I go to probably don't have napkins let alone napkin rings

😭😭😭😂😂😂🤣🤣🤣🤣🤣🤣😭

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 😂

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

ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-sXF5vuStJV8.html

*"But what's does this mean for you?"*

Alyssa Martinsen or did he? *Vsauce music kicks in*

The Round Earth Society *did

His math skills are the tea

You’re really gonna sit there and tell me the teeth on the “yay” face weren’t a mistake...

You use a pencil for maths?

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.

😁😀

jesus christ you are everywhere :D

Tell Me This *he

Jace Chudnow music, actually

Is math related to science ?