The Volume of a Sphere - Numberphile

Johnny Ball discusses Archimedes and the volume of a sphere.

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NUMBERPHILE

Videos by Brady Haran

[erbro]

"I bet it does" has never worked for me on a math exam 🙁

[hsavietto]

Is there any problem Archimedes couldn't solve by throwing it into water?

[mzadro]

This guy is the grandpa that tells everybody cool facts and gives his grandchildren candy before going home at a family gathering

[Bronzescorpion]

That satisfying click sound as the arrive at the end of the proof, coupled with that lovely smile is how any video should end. Simply sublime.

[deldarel]

Episode two of 'archimedes came agonisingly close to discovering calculus'

[AldrichNaiborhu]

This is one of the simplest, yet most satisfying video on the topic, I have ever watched

[markmoz]

I recognised that voice immediately. Johnny is a legend.

[folfol]

"Johnny Ball discusses Archimedes and...."- I like the fanboying of this old man.

[DrumsTheWord]

Johnny Ball is a legend...he was a pleasure to watch as a child, and still is. Thanks for getting him into a video, guys!

[philipmalaby]

The little animation of him hopping around cracked me up 😆

[guysimpson]

Johnny Ball taught me a lot via Children's TV. Great to see him back again!

[NumberBusShelter]

Me: pulls out my trusty bath of water to measure the volume of an object to see if it is equal to the volume of another object
The exam supervisor: **visible confusion**

[K.F-R]

@JohnnyBall Thank you once again. And thank you for getting me to "think of a number" all those years ago. I'm one of the millions of lives you've enriched by making mathematics fun for us at an early age.

@Numberphile Thank you for continuing to platform the all best guest presenters.

[stuu]

I've been listening to Johnny Ball tell me things since 1967, and I will never grow tired of it.

[mauricevanderheiden]

extremly interessting. in my school in Germany, we prove the formula of a sphere with the set of Cavalieri but he lived in the 1700 century and that always made me wonder how ancient mathematicians figured it

[tobiasbreuer]

Even though he did say cross section, the 2D representation at 1:10 confused me so much, and I was thinking he just meant the width. I get it now, but the 2D representation really threw me off :D

[coloradodafronteira]

I'm not from the UK, so I've never heard of this man before. Now I'm just obsessed with going after all his work.

[tgwnn]

If we have a radius of 1 and the centre is at z=0 then the cross section of the cone is πz² while the one of the sphere decreases as π(1-z²), neat :)

[Viewer]

I've been asking and thinking a lot about how we got the volume of a sphere. I must say this is quite surprising and ingenious. Archimedes really is brilliant.

[ChrisNorris]

Think of a Number with the marvellous Mr Ball was my number one, must watch, TV programme as a kid. I attribute my fascination with science and maths to him.