Theorem of Pappus to find Volume of Revolution Calculus 2

[@profrobbob]

My #calculus lesson for finding the volume of a solid of revolution using the Theorem of Pappus.

[@profrobbob]

New Closed Captions thanks to my friend and KZbin student Jigyasa!!! #math

[@georgesadler7830]

Professor RobBob, thank you for a great explanation of the Theorem of Pappas that is used to find the Volume of Revolution in Calculus Two. I also used this Theorem to solve Volume of Revolution problems in Engineering Statics and Dynamics.

[@justicenat4559]

I don't know why but this was amazing. Appreciate it.

[@profrobbob]

Guess you'll have to sub and keep watching until you figure out why I'm so amazing...BAM!!!

[@2vintage]

You explained this very well!! Thanks so much!

[@profrobbob]

+2vintage thanks for studying and subbing!

[@tmendoza6]

Doing a little review and you are the absolute best! Please think about teaching calc 3 and linear algebra. the world of math needs you!

[@060madeeha5]

Simply awesome ! Thank you

[@DD-ws6cu]

Currently 11:25 pm. Test at 8am lol. Thanks bro

[@profrobbob]

You're welcome...hope all that studying helped you passed that exam like BAM!!!

[@DD-ws6cu]

didnt have to use this specific formula but still scored a B

[@profrobbob]

Congrats and thanks for tuning in!

[@717Fafa]

Thank you prof 😊

[@profrobbob]

BAM!!!

[@geraldglennmullet8665]

A segment of a circle of radius R is bounded by an arc equal to 1/3 the circumference of the circle. Find the volume of the solid generated by revolving this segment about its chord as an axis. (This solid is know as Kepler's Lemon). Note: Do note use Integral Calculus

[@comic4relief]

6:50 Instead of 'p' rho is more correct, yeah? The Greek ρ.

[@곽수빈-z4z]

Thank you

[@profrobbob]

You're welcome...and please sub and share this channel with everyone...BAM!!!

[@dominick253]

So for x[f(x)-g(x)]dx what happens to the f and g or what do they represent. Sorry if this is super basic stuff for every one else.

[@danielvu8856]

You kinda look like Rowan Atkinson and I love it

[@profrobbob]

Wish I got paid like an actor:)...lol Thanks for watching!

[@levilevi770]

thank's a lot .

[@profrobbob]

לוי יצחק לוי you're welcome and thanks for watching and liking...please subbed share if you continue to find this channel helpful:D

[@sagespain3175]

thanks a lot sir

[@profrobbob]

+SHELDON COOPER :)

[@fookiebear1]

thank u bro.......... ily

[@profrobbob]

Thanks for watching!

[@justvvk1600]

thank you sir :)

[@profrobbob]

+vamsi vinay kumar VVK you're welcome, thanks for watching and liking! Please sub and share too:D

[@tsk9679]

thanks sir you are from ?

[@angelgelgelgel6763]

prof rob ur the best hahaa... ur much better than my prof ..

[@profrobbob]

+Angel Lingaya thanks for watching! Sounds like you should share my channel with your classmates too, and remind them it's important to channel growth to like, subscribe and support the ads:D

[@groodscom]

Great explanation. You did say "p" for the density when I think you should say "rho", the Greek letter for density. (Good to know for people going into-or are already in- physics.) Thanks for the video!

[@econwill6778]

Make this man president

[@profrobbob]

Feel free to subscribe and start the campaign...lol No need to be president but a million subscribers would be AWESOME...BAM!!!

[@plsjustnathan1]

Unfortunately I can't read cursive

[@chromaticskent7395]

This guy doesn’t seem that bad

[@profrobbob]

Thanks (I hope:)

[@999GHz]

I fuckin lost it at 2:39!

[@profrobbob]

***** nanannnananananannnananna! lol Please don't forget to like, subscribe and share too:D

[@donaldmoon3527]

Prove the theorem of pappus

[@MrPolymath0]

www-m10.ma.tum.de/foswiki/pub/Lehre/WS0809/GeometrieKalkueleWS0809/ch1.pdf

[@TylerMatthewHarris]

MrPolymath0 what a helpful comment. Lol

[@castleblink9522]

wait what

[@shashankbabu6516]

LOL

[@bacawaka2813]

I never learned this in Calc 2 in college. I felt we spent way too much time on series and sequences and missed the centriods portion of the class. Are you going to cover any multi-variable calculus and/or differential equations & linear algebra in the near future?

[@profrobbob]

I do want to continue to build my Calculus playlist so I will eventually get to multi-variable Calculus. Making lessons for Differential Equations and Linear Algebra will be a long way off. I teach high school full time and next year I will be teaching Algebra 1 for the first time in years and we are getting new books. So I will need to make some Alg videos for my live classes and in-between the PreCalculus, AP Calculus, and AP Statistics classes I also teach I will continue my relearning/making lessons for Calculus 2 and 3:) Thank you for asking and watching!

[@Mobliz]

shane bacawaka theory of pappus takes up just half a page in my calc book, at the very end of the 'moments and centers of mass' section of applications of integration.

[@bhumiartz19]

Thank you

[@castleblink9522]

wait what