The Napkin Ring Problem

  • күнү жарыяланды 3 жыл мурун

    Vsauce

    узактыгы: 10:44

    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: kgcold.info/u/video/zGp8dJWYeauFrWk
    Orange Oil: en.wikipedia.org/wiki/Orange_oil
    Napkin Ring Problem: en.wikipedia.org/wiki/Napkin_ring_problem
    Cavalieri's Principle:
    schoolyourself.org/learn/geometry/cavalieri-3d
    en.wikipedia.org/wiki/Cavalieri%27s_principle
    www.cut-the-knot.org/Curriculum/Calculus/Cavalieri.shtml
    BIG THANKS:
    Eric Langlay stayed up all night with me so that this video could come out today. MUCH LOVE kgcold.info
    Grant from 3Blue1Brown helped me wrap my head around this topic: kgcold.info/round/YO_jab_esuFRV4b17AJtAw.html
    music by
    Jake Chudnow: kgcold.info
    and via AudioNetwork: www.audionetwork.com

Vsauce
Vsauce

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 ...

3 жыл мурун
TheJohnMan
TheJohnMan

500 comment

9 күн мурун
Cartoon Chaos
Cartoon Chaos

Nice

12 күн мурун
Mitzi Brabb
Mitzi Brabb

Sir

Ай мурун
Mitzi Brabb
Mitzi Brabb

Yes

Ай мурун
Ashwin’s Magic And Cardistry
Ashwin’s Magic And Cardistry

Last comment

2 ай мурун
Bruh Person
Bruh Person

i lost u at orange oil is flammable

7 саат мурун
Joe S
Joe S

Is this the same principle that applies to water having the same pressure no matter the volume? The only thing that matters is the height.

19 саат мурун
Kayo Ahmed
Kayo Ahmed

there isnt a problem here

Күн мурун
Jett Greely
Jett Greely

Why do hate math class but I like to watch these videos

Күн мурун
D'Nicky Karito
D'Nicky Karito

Am I the only one whose brain hurts?... Yeah?... Ok

2 күн мурун
Green Cheek Beak
Green Cheek Beak

2 good at math for me

2 күн мурун
Atlas Hellwalker
Atlas Hellwalker

Yo, this is kinda mind blowing.

3 күн мурун
Pearl Kids
Pearl Kids

“yay, *with teeth* “ why is that so damn funny oh my god- (8:43)

3 күн мурун
thenewbgamer64
thenewbgamer64

My mom learning of this: very interesting. My mom when I explain how water isn't wasted, as non has left the earth not entered: what are you learning?

4 күн мурун
Yeet 51
Yeet 51

Thumbnail looks like Opera browser logo as seen from the bottom

4 күн мурун
_-Voxeliorn-_
_-Voxeliorn-_

Hello😳😳

4 күн мурун
Pekka Laitinen
Pekka Laitinen

0:50 me when somebody informs me there's a spider on my shoulder

5 күн мурун
GeneralOfShadow
GeneralOfShadow

Today I learned that Orange Oil can burn.

6 күн мурун
Darius Foster
Darius Foster

0:51 Pause

6 күн мурун
マハア
マハア

Thumbnail: Opera browser

7 күн мурун
Sam Kroon
Sam Kroon

That's math

7 күн мурун
Chris Garcia
Chris Garcia

The eclipse he’s talking about happened the beginning of my senior year of HS I’m 21 now. Simpler times...

7 күн мурун
dovahkiin777s
dovahkiin777s

That hurt the math muscles I didn’t know I had

8 күн мурун
Tosty
Tosty

Does that also mean that if I cut a napkin ring out of the earth with the height of an orange, that this napkin ring has teh same volume as said uncut orange?

8 күн мурун
Angus Fraser
Angus Fraser

Napkin Rings look like Napkin Rings.

8 күн мурун
TheJohnMan
TheJohnMan

Me watching sauce for memes but actually try to listen I like your funny words magic man

9 күн мурун
Kuuke
Kuuke

What if the larger napkin ring has a smaller inner circle, thus giving it more area?

9 күн мурун
Punit Meena
Punit Meena

@Релёкс84 ohh i get it now , can't believe i missed that

6 күн мурун
Релёкс84
Релёкс84

If you make a smaller circle, it will make the napkin taller. The fixed height of the napkin uniquely decides the radius of the cylinder you carve out.

6 күн мурун
Punit Meena
Punit Meena

oh wait yeah how are they deciding what should be radius of the cylinder for the napkin ring

7 күн мурун
Orange Juice
Orange Juice

That's doesnt sound right but....

9 күн мурун
Danielle
Danielle

Okay but why are we subtracting the area of the cylinder cross section from the area of the sphere cross section in the first place?

9 күн мурун
MrWestonO
MrWestonO

Why do i see the opera logo

9 күн мурун
Sakkara N
Sakkara N

that's sick

10 күн мурун
moon key
moon key

Ok, wait. You say that any two rings of the same height will have the same volume? What about if i had two oranges exactly the same size. Took out a 1 cm core from the first one, and a 10 cm core from the second one. The remaining "napkin rings" are going to have different volumes. Right? Am i not getting something?

10 күн мурун
Alpha1K
Alpha1K

Huuh

10 күн мурун
Winkler
Winkler

"By the way, Orange oil is flammable." - Michael from Vsauce "You're the best, Michael." - Me

10 күн мурун
Oliver Goat
Oliver Goat

Umwutnow?

10 күн мурун
joseph
joseph

Never look at napkin rings the same again

10 күн мурун
Derek Townsley
Derek Townsley

Was this video reposted, I thought it was newer until i heard him talk about August 21, 2017 as a future event lol

11 күн мурун
Michael Villarreal
Michael Villarreal

I love that we share the same name, keep going vsauce your videos are amazing

11 күн мурун
Gil Gordon
Gil Gordon

if you take a sphere the size of the earth and take out a hole the thinness of a pin from the earth sized sphere and take an apple and take the core out, would those "napkin rings" really be the same. I don't believe it.

11 күн мурун
Bigmike.v1
Bigmike.v1

What does high school algebra do for me? Well, it helps me understand half of this video

13 күн мурун
Jesus Freak
Jesus Freak

"By the way, orange oil is flammable." Okay let's move on.

13 күн мурун
Joe Guy
Joe Guy

It was my birthday when the eclipse happened :)

14 күн мурун
Zaiden Patton
Zaiden Patton

But u could fit more in something bigger

14 күн мурун
Easton Kimbrough
Easton Kimbrough

By the way orange oil is flammable

15 күн мурун
Alex Maniatakes
Alex Maniatakes

You're a mage eh

15 күн мурун
peppuhroni
peppuhroni

what

15 күн мурун
GameBOI
GameBOI

I feel like “orange oil is flammable” is going to be important in some obscure future event in my life

15 күн мурун
Irmonch
Irmonch

3:07 find the differences between these two pictures Vsauce: they're the same picture

15 күн мурун
Victor F.V
Victor F.V

I was scared he was going to use triple integrals and spherical coordinates to determine the volume of the napkin rings.

15 күн мурун
daniperez
daniperez

0:18 is not a good animation because it shows a flat face on both top and bottom surfaces which makes the theory invalid.

16 күн мурун
Tacoman
Tacoman

From 3:10 to 8:44 my brain melted

16 күн мурун
Matt Roig
Matt Roig

Thought Micheal was going to tell me something about the Opera browser

16 күн мурун
Matthew
Matthew

3:42 fu*k u vsauce mikael

16 күн мурун
Mark Meyer
Mark Meyer

The people who disliked the video dont use a napkin after eating ribs

17 күн мурун
James Ellison
James Ellison

watching michael do math is relaxing

17 күн мурун
Cutwitha Knife
Cutwitha Knife

Hey I like your shirt

17 күн мурун
Static Rain
Static Rain

"Yay, with teeth" 👁️👃👁️ 8:42

17 күн мурун
FoxToFreedom
FoxToFreedom

I just like how he occasionally adds it: oh yeah and orange oil is flammable

18 күн мурун
Jerald Allen
Jerald Allen

What the hell did I just watch Micheal do 😂 0:48

18 күн мурун
Diamondbac
Diamondbac

Wouldn't the diameter of the core matter? How much should be cored out from both spheres for this law to work? Or is there a definition to coring that I'm missing?

18 күн мурун
kelly hill
kelly hill

And I was told in high school that I would need that stuff later in life....and I didn't believe them. Boy was I wrong little did I know that one day there would be this thing called the internet ,and on this new technology there would be another thing called youtube and on this thing there would be a guy measuring the area of a napkin holder ,AND BAM !!!! the importance of knowing that stuff that they tried in vain to teach me.

18 күн мурун
kelly hill
kelly hill

You lost me on napkin holder

18 күн мурун
Angel Rocha
Angel Rocha

0:49 me after I did a line.

18 күн мурун
mrloleno
mrloleno

My napkin at night: of course i know him, its me

19 күн мурун
YJArts
YJArts

falling asleep to this fes like falling asleep during class lol

19 күн мурун
Kylynn Boi
Kylynn Boi

John 15:18-22 NIV “If the world hates you, keep in mind that it hated me first. If you belonged to the world, it would love you as its own. As it is, you do not belong to the world, but I have chosen you out of the world. That is why the world hates you. Remember what I told you: ‘A servant is not greater than his master.’ If they persecuted me, they will persecute you also. If they obeyed my teaching, they will obey yours also. They will treat you this way because of my name, for they do not know the one who sent me. If I had not come and spoken to them, they would not be guilty of sin; but now they have no excuse for their sin. If you just repent of your sins, and belive that Jesus died for YOU, you will go to heaven. You can only go to heaven through faith, not by works of the world, which means you can't do good things on earth and expect to go to heaven, you only go to heaven through faith.

19 күн мурун
Kylynn Boi
Kylynn Boi

@_ because I am a true believer in Christ and I want as many people to get to heaven as possible. I do this by spreading the gospel by commenting that comment I said on videos that I watch

18 күн мурун
_
_

Why

18 күн мурун
steticc ඞ
steticc ඞ

opera

20 күн мурун
Strate Up Gamr
Strate Up Gamr

0:52

21 күн мурун
juancgutro
juancgutro

"Yay... with teeth"

21 күн мурун
Mohamed Chaabouni
Mohamed Chaabouni

Hoped my math and physics teacher was explaining like you. XD thanks !

21 күн мурун
A person
A person

I dont understand but cool

21 күн мурун
Ares Quinn
Ares Quinn

this is so wierd

21 күн мурун
Jo Lopez
Jo Lopez

The most original way to ask my girlfriend if she wants to marry me!

21 күн мурун
Cringowa Chan
Cringowa Chan

me who didn't have half of that crap on math yet: *yes, i understand e v e r y t h i n g/s*

21 күн мурун
Sir Picklestien
Sir Picklestien

Everyone talking about napkin rings but what about 1:33 ...

21 күн мурун
Sir Picklestien
Sir Picklestien

Really satisfying ASMR to play in background during tasks!!

21 күн мурун
Moises
Moises

Ah yes, math

22 күн мурун
haynuzband
haynuzband

how does square root work on one side and not the other at 5:20?

22 күн мурун
Rixasum
Rixasum

so that you know that you need to sq root it when R and H are a number

21 күн мурун
robbie rasberry
robbie rasberry

Daily Dose of Internet

22 күн мурун
Ishaan gupta
Ishaan gupta

shiet

22 күн мурун
Himanshu Patil
Himanshu Patil

After 10min 44 sec: Sooo.... What is a napkin ring?

22 күн мурун
helpmelah
helpmelah

I see *oracle*

22 күн мурун
L O R D . R U N S A R K
L O R D . R U N S A R K

This was a math lesson

22 күн мурун
GMS Films
GMS Films

I know no one uses the web browser oprea and neither do I but, the title card

22 күн мурун
EarthToAccess
EarthToAccess

michael why is the thumbnail a sideways Opera logo /s

23 күн мурун
clear cut
clear cut

No homework for today folks We'll continue tomorrow with the same chapter. And as always, Thanks for watching

23 күн мурун
Chizuru
Chizuru

0:38 let's leave

23 күн мурун
Mr_Pro_ 244
Mr_Pro_ 244

I can’t stop thinking about three-point hitches on tractors while watching this 😂

23 күн мурун
Dennis Greenwood III
Dennis Greenwood III

Lol

24 күн мурун
GreenJordan 30
GreenJordan 30

Opera browser.

24 күн мурун
5Cents
5Cents

I remember seeing your brain candy back in the day, unfortunately I lost my ping pong ball 😢

24 күн мурун
Mad Wolf Man
Mad Wolf Man

yay, with teeth

24 күн мурун
Timothy McQueen
Timothy McQueen

Holy shit, do I hear Kira's theme from JoJos?!?!

24 күн мурун
Lamar Davis
Lamar Davis

Opera

25 күн мурун
Jack Cable
Jack Cable

Fun fact! If you turned the earth into a napkin ring everyone would die

25 күн мурун
John MacLean
John MacLean

Love

25 күн мурун
Swaggerlol
Swaggerlol

BRO IM ONLY IN 7TH GRADE CHILL

26 күн мурун
Patrick Vroman
Patrick Vroman

9:36 The view of the eclipse from "Organ" was amazing.

26 күн мурун
Jacquelin Simpkins
Jacquelin Simpkins

0:50 Michael are you ok?

27 күн мурун
Sage Royale
Sage Royale

I thought this vid was about opera

27 күн мурун
DoYouRememberHim
DoYouRememberHim

Me: wants to learn about napkin rings but gets an entire math lesson instead

27 күн мурун
deano2000nz
deano2000nz

Sorry, but I'm off to watch some more porn

27 күн мурун
Ajay Whitfield
Ajay Whitfield

I failed algebra 2 in high school.....I understand this Completely!!! Oil from Oranges are Flammable!!!!

27 күн мурун
Bruno Reblin
Bruno Reblin

So we can make bombs out of oranges?

27 күн мурун

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