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

Поделиться
HTML-код
  • Опубликовано: 19 янв 2025

Комментарии • 141

  • @unhhgcrxexhjvuvujchcrzwzwz7956
    @unhhgcrxexhjvuvujchcrzwzwz7956 3 года назад +286

    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
      @intheshell35ify 3 года назад +2

      Amen.

    • @vn7512
      @vn7512 3 года назад +7

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

  • @Trinitodbone870
    @Trinitodbone870 2 года назад +56

    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
    @ImElytra 2 года назад +17

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

  • @jamiehendrickx4569
    @jamiehendrickx4569 3 года назад +20

    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.

  • @Josh-tu9ji
    @Josh-tu9ji 3 года назад +13

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

  • @rapidsfire1
    @rapidsfire1 3 года назад +12

    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
    @domanirobledo6447 Год назад +5

    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.

  • @applejuiceandy4920
    @applejuiceandy4920 Год назад +6

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

  • @ianhuangncubed
    @ianhuangncubed 11 месяцев назад

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

  • @mienai955
    @mienai955 Год назад

    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.

  • @stealthworx4371
    @stealthworx4371 2 года назад

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

  • @SmokeDaily95
    @SmokeDaily95 3 года назад +1

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

  • @intheshell35ify
    @intheshell35ify 3 года назад +5

    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.

  • @nicollassdossantos
    @nicollassdossantos 2 года назад +3

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

  • @Abhishek._bombay
    @Abhishek._bombay 2 месяца назад +1

    4:05 for which method we use+ 4:11+4:35+5:16
    +5:23 measure original region +5:35 +5:46 measure in correct way+ 8:00 small radius=dist from axis of rotation to the near/ closure function

  • @aryan4985
    @aryan4985 Год назад

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

  • @shumokhalmutairi3662
    @shumokhalmutairi3662 2 года назад +2

    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.

  • @swagatdas7497
    @swagatdas7497 4 года назад +3

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

  • @solarstar3553
    @solarstar3553 10 месяцев назад

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

  • @tanviapte1786
    @tanviapte1786 3 года назад +6

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

  • @Cenedra-o9c
    @Cenedra-o9c 4 месяца назад

    thanks so much...i finally grasped the concept of volume of solid revolting on axes different from x or y

  • @torphedo6286
    @torphedo6286 8 месяцев назад

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

  • @sabrinamickley6977
    @sabrinamickley6977 10 месяцев назад

    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!!

  • @JesasaurusRex
    @JesasaurusRex 2 года назад

    Finally, someone to make it make sense. Thank you

  • @eness26-h1g
    @eness26-h1g 9 месяцев назад

    most understandable teacher ı have ever seen thanks sir

  • @bridgetkwofie7654
    @bridgetkwofie7654 2 года назад +1

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

  • @joshycasuga2555
    @joshycasuga2555 3 года назад

    Wow this is clearly explained well done madam

  • @lofi_ish5613
    @lofi_ish5613 2 года назад

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

  • @ahmadmujtba8168
    @ahmadmujtba8168 Год назад

    This was the thing I needed. Thanks a lot.

  • @Amankumar-yu6nz
    @Amankumar-yu6nz 2 года назад

    Best lecture, thank you for clearing all my doubts.

  • @tylerslingluff3792
    @tylerslingluff3792 2 года назад +1

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

    • @Stevewrangus6
      @Stevewrangus6 2 года назад +1

      I hate my math teacher so much

    • @tylerslingluff3792
      @tylerslingluff3792 2 года назад +1

      @@Stevewrangus6 Me too!!!!!!! Too many shenanigans!!!!!!!!

    • @Stevewrangus6
      @Stevewrangus6 2 года назад +1

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

    • @jasonwalker7707
      @jasonwalker7707 2 года назад +1

      @@tylerslingluff3792 your shenanigans, you mean?

    • @dreameater3372
      @dreameater3372 2 года назад

      @@Stevewrangus6 dirty

  • @tang4486
    @tang4486 3 года назад +2

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

  • @yinpopoaung8910
    @yinpopoaung8910 Год назад

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

  • @laurenj2186
    @laurenj2186 Год назад

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

  • @jmwild1
    @jmwild1 3 месяца назад

    I used shell method with these three problems and got the same answers! Sometimes shell makes these easier and sometimes it makes them harder, but I like to understand the concepts.

  • @notme3185
    @notme3185 8 месяцев назад +1

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

  • @Nabeelcodes
    @Nabeelcodes 3 года назад

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

  • @mathveeresh168
    @mathveeresh168 5 лет назад +8

    That was highly helpful thank you so much

    • @dreameater3372
      @dreameater3372 2 года назад

      أنا أحب الأعضاء التناسلية الذكرية

  • @sunjushrenaidu5421
    @sunjushrenaidu5421 Год назад

    you are such a life saver

  • @Aaron-sr6nc
    @Aaron-sr6nc 3 года назад +1

    Perfectly explained, thank you!

  • @kaeyynn
    @kaeyynn Год назад

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

  • @dreameater3372
    @dreameater3372 2 года назад

    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

  • @lolwut7562
    @lolwut7562 2 года назад

    Excellent video and very intuivite. Thanks!

  • @shivammaurya2238
    @shivammaurya2238 4 года назад +1

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

  • @raghavjuyalcamedy6198
    @raghavjuyalcamedy6198 2 года назад +1

    Plz.. keep on making this kind of videos ✨

  • @bonganipeter9433
    @bonganipeter9433 2 года назад

    Clear Explanation, Thank you so much.

  • @jojololo752
    @jojololo752 2 года назад

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

  • @jasonwalker7707
    @jasonwalker7707 2 года назад +2

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

  • @K.AKHILESH
    @K.AKHILESH 2 месяца назад +1

    Thanks mam love from india

  • @kamilahernandez4729
    @kamilahernandez4729 3 года назад

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

  • @potatoeater8014
    @potatoeater8014 7 месяцев назад +1

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

  • @jannatulferdouseesha7194
    @jannatulferdouseesha7194 Год назад

    just wonderful explanation👍

  • @smidgenmount
    @smidgenmount 2 года назад

    a Life Saver, thanks for this

  • @sadiasalman258
    @sadiasalman258 2 года назад

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

  • @prakharchauhan2446
    @prakharchauhan2446 Год назад

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

  • @lapislazulilapis
    @lapislazulilapis 2 года назад

    Wonderful explanation! Thank you!

  • @davidopaleke6938
    @davidopaleke6938 6 месяцев назад

    you might be the GOAT

  • @Kaka-soda
    @Kaka-soda 9 месяцев назад

    Thank you so much! Make me understand how this works

  • @VishalYadav-566
    @VishalYadav-566 11 месяцев назад

    Unique video thank you ma'am ❤

  • @limnayeon9729
    @limnayeon9729 3 года назад

    You're a life saver!

  • @longtrinh6866
    @longtrinh6866 3 года назад

    Extremely helpful. Thanks.

  • @seanmccray1173
    @seanmccray1173 3 года назад

    Good stuff. Very helpful

  • @gbwisk0004
    @gbwisk0004 3 года назад

    Awoke video!!! Thank you sooooo much

  • @izzygrandic
    @izzygrandic 2 года назад

    This was so great!

  • @s--b
    @s--b Год назад

    I literally owe you my life

    • @s--b
      @s--b Год назад

      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

  • @Lemurai
    @Lemurai 2 года назад

    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.

  • @rajands65
    @rajands65 2 года назад +1

    Thank you so much ma'am!

  • @fayzajami3741
    @fayzajami3741 3 года назад

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

  • @savdelpha7008
    @savdelpha7008 2 года назад

    you explained it beautyfully.

  • @vukanimakhathini4904
    @vukanimakhathini4904 2 года назад

    This was really useful 🔥🔥

  • @chrispesce4079
    @chrispesce4079 3 года назад

    Nicely presented.

  • @basantkumargupta9194
    @basantkumargupta9194 2 года назад

    Very nice madam

  • @newjeannz
    @newjeannz Год назад

    SLAYYYY BESTIEEEE

  • @rohit2607
    @rohit2607 3 года назад

    nice explanation

  • @RanBlakePiano
    @RanBlakePiano Год назад

    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

  • @vehuel8735
    @vehuel8735 Год назад +1

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

  • @zmh27
    @zmh27 2 года назад

    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

  • @Jil320
    @Jil320 3 месяца назад

    god bless your heart

  • @adjgaming426
    @adjgaming426 4 года назад

    very useful, thanks so much!!!

  • @rajveerkania3929
    @rajveerkania3929 4 года назад +1

    Thanks miss !

  • @lakshgoyal1324
    @lakshgoyal1324 3 месяца назад

    The karm yogis, who are of purified intellect, and who control the mind and senses, see the Soul of all souls in every living being. Though performing all kinds of actions, they are never entangled.

  • @musawaleed224
    @musawaleed224 3 года назад

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

  • @bweupechola6082
    @bweupechola6082 2 года назад

    thank you very much ❤️❤️❤️🥰❤️

  • @basantkumargupta9194
    @basantkumargupta9194 2 года назад

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

  • @Sanskar.28
    @Sanskar.28 3 года назад

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

  • @wairenlow
    @wairenlow 2 года назад

    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
      @nicollassdossantos 2 года назад

      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.

  • @sonerika4238
    @sonerika4238 3 года назад

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

  • @dreaminfinite9286
    @dreaminfinite9286 3 года назад +1

    Very useful ❤️❤️thank u🥺

  • @aksharvijay8752
    @aksharvijay8752 Год назад

    Thank you!

  • @عطاالدهامشة-ع8ح
    @عطاالدهامشة-ع8ح 3 года назад

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

  • @isaacacostaSDSU
    @isaacacostaSDSU 11 месяцев назад

    THANK YOU SO MUCH

  • @Questionpaper391
    @Questionpaper391 2 года назад

    Hello how to slove this question
    Find the volume of solid generated by revoluting the region bounded by y=underroot x and the lines y=1 x=4 about the line y=1 please slove this question please please please

  • @arwaibrahim8051
    @arwaibrahim8051 3 года назад

    Thank you so much!!!

  • @nhowiecastillo8855
    @nhowiecastillo8855 3 года назад

    THANK YOU SO MUCH

  • @jaskiratsingh4330
    @jaskiratsingh4330 4 года назад

    Tysm mam...it helps me alot!

  • @contresillodenettur9828
    @contresillodenettur9828 4 месяца назад

    BEST VIDEO TO UNDERSTAND THIS SHIT

  • @anurudhsingh8786
    @anurudhsingh8786 Год назад

    love you mam❤💞💕❣

  • @pagoeagle_4198
    @pagoeagle_4198 3 месяца назад

    thank you so much

  • @ruger51995
    @ruger51995 2 года назад

    example 2 doesnt need to be in terms of y does it/

  • @HyperZhou
    @HyperZhou 9 месяцев назад

    what if it is around the line y=x?