Multiple Integrals 16: Volume of Sphere, another look

[commanderdbag]

this was a great lesson! I think you just get too excited about the math and talk a little too fast.

[oftanie]

..............................­....

[sinareth]

thanks for help, if you talk slower it will be perfect, but thanks for your effort, really appreciated :-)

[guerrero006]

I already knew it, but I didn't remember it, thank you! :D

[WEGJ12]

nice. what university do you go to?

[YannickStoot]

His sphere looks like an eggXD

[YannickStoot]

Can someone repost this video slowed down?XD

[XMethoDTK]

can u explain faster? O.o

[weisszil]

This gook is the shit !!!

[jazon345]

Got a 97% on my test Thanks XD

[cdesireb]

deriving this will be on my test. Thanks for sharing :)

[TomRiverstone]

you talk way to fast!

[hadwhoken]

is it truth lol... :p the formula takes any theta, it can be -11111111111111111110000 and 19214129419512512589...

[gustgr]

By the way, great lessons. I've watched all videos from the Multiple Integral series, they are very clear :)

[gustgr]

At 7:38 you say that the following statement:

cos^2(theta) + sin^2(theta) = 1

Is true when theta is equal to 0 or theta is equal to 2pi. I understood your solution very well, and I understand why we have to integrate on theta from 0 to 2pi, but in my understanding, this trigonometric relation is valid for ANY value of theta, isn't that true?

[betatester23]

Yes, that is a fundamental trigonometric relation which is valid for all values of theta.

I think Dony made a mistake there but not much a problem. He is a good teacher at all :)

[rndyrhoadsfan]

It's true every where because higher angles are considered multiples of 2pi.

so 62.83 is really equivalent to 0 or 2pi even though 62.83 requires you go around the circle ten times