Volume of solids of revolution about lines other than x or y axis

[@unhhgcrxexhjvuvujchcrzwzwz7956]

Literally the only video I could find that doesn’t just ramble on about the concept of 3D objects thank you, your a life saver

[@intheshell35ify]

Amen.

[@vn7512]

She’s a really good teacher. I had her she was amazing.

[@Trinitodbone870]

YOU ARE SUCH A GOOD TEACHER! You helped me understand the radius when no one else could and you did it in like 2 minutes. Thank you so much. Sending love 4 years later.

[@ImElytra]

I really struggle with revolution, but I have never seen such an amazing explanation on KZbin. Thank you so much :D

[@Josh-tu9ji]

Visualizing how to find the big R and little r was SO USEFUL!! THANKS!!

[@rapidsfire1]

Thank you for making this video! Ive never been someone who math just clicks for so the thoroughness of your lesson is a godsend. Thank you!

[@domanirobledo6447]

This was so helpful, your explanations even helped me figure out how to find the volume of areas between two curves revolved around given lines. You’re a rockstar.

[@jamiehendrickx4569]

I'm a math tutor and needed to review this material. From one math teacher to another, you have a gift!! Thank you for making this so simple to understand.

[@pureroseangemuse7910]

same

[@applejuiceandy4920]

Explaining in a way humans can understand. Not a rambling psychopath. Thank you

[@ianhuangncubed]

I love that you explain every single step clearly, and never take anything for granted. You have an art for teaching.

[@SmokeDaily95]

Ms. Callahan, thank you very much for the help and explanation. I was able to get ahead of my class using your video!

[@mienai955]

I usually don't leave reviews but man, this answered all the questions I had about when adding the line of revolution or when subtracting! thank you.

[@nicollassdossantos]

Great video and straight to the point, this was immensely helpful. Thank you!

[@stealthworx4371]

Lady you are a legend this was about as easy to understand as this topic could possibly be explained.

[@intheshell35ify]

Your explanation of how to find the function that describes the radius when rotated around a non 0 axis was so simple and intuitive that now I'm embarrassed I had to ask. Unfortunately, I can't find the function that describes the volume of my gratitude so I'll go with one of the basic functions......Thank you.

[@torphedo6286]

Super neat handwriting & great diagrams! Good stuff, using this to brush up 40 minutes before my calc 2 final :)

[@Aaron-sr6nc]

Perfectly explained, thank you!

[@ahmadmujtba8168]

This was the thing I needed. Thanks a lot.

[@nabeelkhan1275]

Great Video!!! Concepts totally cleared, Thanks!!

[@swagatdas7497]

At 1st I have huge doubt about this but now its crystal clear 😍thank u so much

[@aryan4985]

This is the best explanation of this topic I've seen. Thanks a lot

[@sunjushrenaidu5421]

you are such a life saver

[@Amankumar-yu6nz]

Best lecture, thank you for clearing all my doubts.

[@JesasaurusRex]

Finally, someone to make it make sense. Thank you

[@solarstar3553]

THANK YOU SO MUCH!!! I have been struggling to understand how to set up the integral but this video explains it so well!!!!

[@lolwut7562]

Excellent video and very intuivite. Thanks!

[@lapislazulilapis]

Wonderful explanation! Thank you!

[@jannatulferdouseesha7194]

just wonderful explanation👍

[@limnayeon9729]

You're a life saver!

[@tang4486]

Thank you so much for explaining so clear for us and i finally understand after doing same questioms for 3 hours🥳

[@longtrinh6866]

Extremely helpful. Thanks.

[@kamilahernandez4729]

What an awesome video! Very helpful, keep it up :)

[@Kaka-soda]

Thank you so much! Make me understand how this works

[@shumokhalmutairi3662]

Thank you so much. Very excellent explanation, after watching the video, the solution seemed much easier for me. I thought that drawing was very difficult, and now I have become very skilled.

[@bonganipeter9433]

Clear Explanation, Thank you so much.

[@yinpopoaung8910]

Thanks for this video. Because of this, I can easily understand.

[@lofi_ish5613]

you are the best. I have finals tomorrow and you literally saved me thanks a lot

[@smidgenmount]

a Life Saver, thanks for this

[@shivammaurya2238]

i got it now ,thanks for explaining it with very easy language

[@bellagrandic]

This was so great!

[@jojololo752]

God bless your soul you're a life saver thank you so much

[@gbwisk0004]

Awoke video!!! Thank you sooooo much

[@seanmccray1173]

Good stuff. Very helpful

[@raghavjuyalcamedy6198]

Plz.. keep on making this kind of videos ✨

[@sabrinamickley6977]

I am learning this in class and no matter how many examples, I just could not figure it out 😭but with this one video, I finally get it. Thank you!!

[@rajands65]

Thank you so much ma'am!

[@joshycasuga2555]

Wow this is clearly explained well done madam

[@laurenj2186]

OH MY GOD THANK YOU SO MUCH YOU JUST SAVED MY CALC2 LIFE GOD BLESS🥰😘🥳🤩

[@anass26]

most understandable teacher ı have ever seen thanks sir

[@bridgetkwofie7654]

Thank you so much..i have really understood this concept after watching this video

[@VishalYadav-566]

Unique video thank you ma'am ❤

[@tanviapte1786]

Thank you so much for this video ! I have my Calc exam tomorrow and this literally saved my life

[@vukanimakhathini4904]

This was really useful 🔥🔥

[@sadiasalman258]

Much thanks....... ❤️Video is too helping... Make more videos for better understanding on other topics related to calculus as well .. Thanks

[@aksharvijay8752]

Thank you!

[@savdelpha7008]

you explained it beautyfully.

[@chrispesce4079]

Nicely presented.

[@notme3185]

Gotta learn this, I have ap exam in 2 weeks and haven't been taught

[@jasonwalker7707]

this is my actual teacher, she's as good in real life as in this video!

[@rajveerkania3929]

Thanks miss !

[@dreameater3372]

very helpful i was pushing on a pull door but it was locked you allowed me to find the volume of the solid revolving around that door أنا أحب الأعضاء التناسلية الذكرية

[@prakharchauhan2446]

Hey thankyou so much i was unable to find any material on this topic particularly when rotating about lines other then the Axises

[@mathveeresh168]

That was highly helpful thank you so much

[@dreameater3372]

أنا أحب الأعضاء التناسلية الذكرية

[@adjgaming426]

very useful, thanks so much!!!

[@arwaibrahim8051]

Thank you so much!!!

[@isaacacostaSDSU]

THANK YOU SO MUCH

[@s--b]

I literally owe you my life

[@s--b]

Update: I got a 100% on my assignment because of this video so I'm serious I will catch a grenade for you Ms. Callahan

[@sunisii]

Thank you, I was so frustrated in class and even embarrassed myself in front of my teacher because I was so confused about this.

[@katxko]

SLAYYYY BESTIEEEE

[@bweupechola6082]

thank you very much ❤️❤️❤️🥰❤️

[@Lemurai]

You seem very pleasant and easy to learn from all of my math professors not counting physics have been very callous and rude regardless of the student was doin well or not.

[@fayzajami3741]

Thanks you are a wonderful teacher. I need a video about cylindrical shell. I can’t fond it in your’s videos

[@manishdharmani4695]

Thanks alot!

[@musawaleed224]

With thanks- what is the volume of the region rotated around x= 1 in the first ex.

[@nhowiecastillo8855]

THANK YOU SO MUCH

[@sonerika4238]

What if you were to revolve around the line y=x? I feel like that just makes it 10x harder

[@ssmod]

Thanks !!!!!!!!

[@rohit2607]

nice explanation

[@Life_forms]

thank you

[@basantkumargupta9194]

Very nice madam

[@RanBlakePiano]

Looked at your list of videos starting from the oldest trying to decipher my order on which to study first and felt confused I’ve started a bit of calculus but need to go further back to pre cal and possibly algebra .was looking at chronological order ……as a point to study your own lessons I hope I’m being clear

[@pjscoglio7482]

OHHHHH SHOOT thank you so much

[@sreedevip4330]

Thanks❤

[@GauravGupta-pb8mk]

Thank you Mam

[@mrneet4189]

Thank you

[@themsk9923]

Thanks

[@zmh27]

what if its The region in the first quadrant bounded above by the curve y = x^2, below by the x-axis, and on the right by the line x = 1, about the line x = -1

[@amanshah7780]

Thank you maam 😊

[@anurudhsingh8786]

love you mam❤💞💕❣

[@MaheshPatil-lr7wv]

🙏

[@TheBigMeme67]

I love u

[@user-wk2bl4cj7b]

Shera.

[@potatoeater8014]

5:20 lifechanging information 😭why dont profs teach it this way

[@HyperZhou]

what if it is around the line y=x?

[@vehuel8735]

This made so much sense, it clicked instantly when you explained it, the visuals were so helpful too- (*ˊᗜˋ*)ᵗᑋᵃᐢᵏ ᵞᵒᵘ

[@albitbiju3739]

Thanksa lot

[@user-uh8wk5uy9n]

how we find the surface area for you r example a bout x=6

[@basantkumargupta9194]

Can be solved it by the theorem of Pappus and Golden?

[@Sanskar.28]

It's great in explaining I'd like to study more from you

[@tylerslingluff3792]

Very helpful!!!!!!! I now have a very good grade in my class!!!!!!!!!!! Much better then my math teacher!!!!!!!!!!!!!!

[@davidpeto3753]

I hate my math teacher so much

[@tylerslingluff3792]

@@davidpeto3753 Me too!!!!!!! Too many shenanigans!!!!!!!!

[@davidpeto3753]

@@tylerslingluff3792 I hate those knuckleheads and their quotes of the days

[@jasonwalker7707]

@@tylerslingluff3792 your shenanigans, you mean?

[@dreameater3372]

@@davidpeto3753 dirty

[@wairenlow]

Hi Ms.Callahan, thank you for the great video you made. But how do you determine the x or y variable distance is outside the shaded region or inside? Like example 1 your x variable distance is outside of shaded region and example 2 your y variable is inside the shaded region. I appreciate anyone's help!!

[@nicollassdossantos]

It depends on the plot but on both these cases (ex 1 and 2) there was a gap and thus Washer Method was used. It goes back to the definition of outer radius (furthest away from axis of revolution) and inner radius (closest to the axis of revolution). And we had to do a difference to be able to count units on a consistent manner, on the right direction. The shaded region is the region that is bounded by the parameters given on each question and it's the region of interest.