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

แชร์
ฝัง
  • เผยแพร่เมื่อ 8 พ.ย. 2024

ความคิดเห็น • 140

  • @unhhgcrxexhjvuvujchcrzwzwz7956
    @unhhgcrxexhjvuvujchcrzwzwz7956 3 ปีที่แล้ว +280

    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 ปีที่แล้ว +2

      Amen.

    • @vn7512
      @vn7512 3 ปีที่แล้ว +6

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

  • @Trinitodbone870
    @Trinitodbone870 2 ปีที่แล้ว +55

    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.

  • @Josh-tu9ji
    @Josh-tu9ji 3 ปีที่แล้ว +13

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

  • @ImElytra
    @ImElytra 2 ปีที่แล้ว +17

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

  • @applejuiceandy4920
    @applejuiceandy4920 ปีที่แล้ว +6

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

  • @jamiehendrickx4569
    @jamiehendrickx4569 3 ปีที่แล้ว +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.

  • @rapidsfire1
    @rapidsfire1 2 ปีที่แล้ว +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 ปีที่แล้ว +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.

  • @Abhishek._bombay
    @Abhishek._bombay 5 วันที่ผ่านมา +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

  • @ianhuangncubed
    @ianhuangncubed 9 หลายเดือนก่อน

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

  • @mienai955
    @mienai955 10 หลายเดือนก่อน

    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.

  • @intheshell35ify
    @intheshell35ify 3 ปีที่แล้ว +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.

  • @jmwild1
    @jmwild1 26 วันที่ผ่านมา

    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.

  • @aryan4985
    @aryan4985 ปีที่แล้ว

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

  • @SmokeDaily95
    @SmokeDaily95 2 ปีที่แล้ว +1

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

  • @nicollassdossantos
    @nicollassdossantos 2 ปีที่แล้ว +3

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

  • @solarstar3553
    @solarstar3553 7 หลายเดือนก่อน

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

  • @swagatdas7497
    @swagatdas7497 3 ปีที่แล้ว +3

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

  • @stealthworx4371
    @stealthworx4371 2 ปีที่แล้ว

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

  • @sabrinamickley6977
    @sabrinamickley6977 8 หลายเดือนก่อน

    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!!

  • @silviadecarli5463
    @silviadecarli5463 2 หลายเดือนก่อน

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

  • @torphedo6286
    @torphedo6286 6 หลายเดือนก่อน

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

  • @shumokhalmutairi3662
    @shumokhalmutairi3662 2 ปีที่แล้ว +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.

  • @anass26
    @anass26 7 หลายเดือนก่อน

    most understandable teacher ı have ever seen thanks sir

  • @Amankumar-yu6nz
    @Amankumar-yu6nz 2 ปีที่แล้ว

    Best lecture, thank you for clearing all my doubts.

  • @dreameater3372
    @dreameater3372 2 ปีที่แล้ว

    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

  • @laurenj2186
    @laurenj2186 ปีที่แล้ว

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

  • @jannatulferdouseesha7194
    @jannatulferdouseesha7194 11 หลายเดือนก่อน

    just wonderful explanation👍

  • @bridgetkwofie7654
    @bridgetkwofie7654 2 ปีที่แล้ว +1

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

  • @tang4486
    @tang4486 3 ปีที่แล้ว +2

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

  • @tanviapte1786
    @tanviapte1786 3 ปีที่แล้ว +6

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

  • @mathveeresh168
    @mathveeresh168 4 ปีที่แล้ว +8

    That was highly helpful thank you so much

    • @dreameater3372
      @dreameater3372 2 ปีที่แล้ว

      أنا أحب الأعضاء التناسلية الذكرية

  • @JesasaurusRex
    @JesasaurusRex 2 ปีที่แล้ว

    Finally, someone to make it make sense. Thank you

  • @yinpopoaung8910
    @yinpopoaung8910 11 หลายเดือนก่อน

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

  • @raghavjuyalcamedy6198
    @raghavjuyalcamedy6198 2 ปีที่แล้ว +1

    Plz.. keep on making this kind of videos ✨

  • @tylerslingluff3792
    @tylerslingluff3792 2 ปีที่แล้ว +1

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

    • @davidpeto3753
      @davidpeto3753 2 ปีที่แล้ว +1

      I hate my math teacher so much

    • @tylerslingluff3792
      @tylerslingluff3792 2 ปีที่แล้ว +1

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

    • @davidpeto3753
      @davidpeto3753 2 ปีที่แล้ว +1

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

    • @jasonwalker7707
      @jasonwalker7707 2 ปีที่แล้ว +1

      @@tylerslingluff3792 your shenanigans, you mean?

    • @dreameater3372
      @dreameater3372 2 ปีที่แล้ว

      @@davidpeto3753 dirty

  • @lofi_ish5613
    @lofi_ish5613 2 ปีที่แล้ว

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

  • @Kaka-soda
    @Kaka-soda 7 หลายเดือนก่อน

    Thank you so much! Make me understand how this works

  • @joshycasuga2555
    @joshycasuga2555 3 ปีที่แล้ว

    Wow this is clearly explained well done madam

  • @notme3185
    @notme3185 6 หลายเดือนก่อน +1

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

  • @jojololo752
    @jojololo752 2 ปีที่แล้ว

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

  • @bonganipeter9433
    @bonganipeter9433 2 ปีที่แล้ว

    Clear Explanation, Thank you so much.

  • @VishalYadav-566
    @VishalYadav-566 9 หลายเดือนก่อน

    Unique video thank you ma'am ❤

  • @ahmadmujtba8168
    @ahmadmujtba8168 11 หลายเดือนก่อน

    This was the thing I needed. Thanks a lot.

  • @sunjushrenaidu5421
    @sunjushrenaidu5421 ปีที่แล้ว

    you are such a life saver

  • @rajands65
    @rajands65 2 ปีที่แล้ว +1

    Thank you so much ma'am!

  • @prakharchauhan2446
    @prakharchauhan2446 ปีที่แล้ว

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

  • @Nabeelcodes
    @Nabeelcodes 2 ปีที่แล้ว

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

  • @shivammaurya2238
    @shivammaurya2238 4 ปีที่แล้ว +1

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

  • @savdelpha7008
    @savdelpha7008 2 ปีที่แล้ว

    you explained it beautyfully.

  • @fayzajami3741
    @fayzajami3741 2 ปีที่แล้ว

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

  • @Aaron-sr6nc
    @Aaron-sr6nc 2 ปีที่แล้ว +1

    Perfectly explained, thank you!

  • @sadiasalman258
    @sadiasalman258 2 ปีที่แล้ว

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

  • @lapislazulilapis
    @lapislazulilapis 2 ปีที่แล้ว

    Wonderful explanation! Thank you!

  • @kaeyynn
    @kaeyynn 9 หลายเดือนก่อน

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

  • @smidgenmount
    @smidgenmount 2 ปีที่แล้ว

    a Life Saver, thanks for this

  • @seanmccray1173
    @seanmccray1173 2 ปีที่แล้ว

    Good stuff. Very helpful

  • @davidopaleke6938
    @davidopaleke6938 4 หลายเดือนก่อน

    you might be the GOAT

  • @Lemurai
    @Lemurai 2 ปีที่แล้ว

    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.

  • @lolwut7562
    @lolwut7562 2 ปีที่แล้ว

    Excellent video and very intuivite. Thanks!

  • @jasonwalker7707
    @jasonwalker7707 2 ปีที่แล้ว +2

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

  • @longtrinh6866
    @longtrinh6866 3 ปีที่แล้ว

    Extremely helpful. Thanks.

  • @limnayeon9729
    @limnayeon9729 3 ปีที่แล้ว

    You're a life saver!

  • @RanBlakePiano
    @RanBlakePiano ปีที่แล้ว

    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

  • @vukanimakhathini4904
    @vukanimakhathini4904 2 ปีที่แล้ว

    This was really useful 🔥🔥

  • @izzygrandic
    @izzygrandic 2 ปีที่แล้ว

    This was so great!

  • @bweupechola6082
    @bweupechola6082 2 ปีที่แล้ว

    thank you very much ❤️❤️❤️🥰❤️

  • @basantkumargupta9194
    @basantkumargupta9194 ปีที่แล้ว

    Very nice madam

  • @chrispesce4079
    @chrispesce4079 3 ปีที่แล้ว

    Nicely presented.

  • @s--b
    @s--b ปีที่แล้ว

    I literally owe you my life

    • @s--b
      @s--b ปีที่แล้ว

      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

  • @Jil320
    @Jil320 25 วันที่ผ่านมา

    god bless your heart

  • @rohit2607
    @rohit2607 3 ปีที่แล้ว

    nice explanation

  • @kamilahernandez4729
    @kamilahernandez4729 3 ปีที่แล้ว

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

  • @gbwisk0004
    @gbwisk0004 3 ปีที่แล้ว

    Awoke video!!! Thank you sooooo much

  • @aksharvijay8752
    @aksharvijay8752 ปีที่แล้ว

    Thank you!

  • @rajveerkania3929
    @rajveerkania3929 3 ปีที่แล้ว +1

    Thanks miss !

  • @pagoeagle_4198
    @pagoeagle_4198 หลายเดือนก่อน

    thank you so much

  • @isaacacostaSDSU
    @isaacacostaSDSU 9 หลายเดือนก่อน

    THANK YOU SO MUCH

  • @GauravGupta-pb8mk
    @GauravGupta-pb8mk 2 ปีที่แล้ว

    Thank you Mam

  • @sreedevip4330
    @sreedevip4330 11 หลายเดือนก่อน

    Thanks❤

  • @lakshgoyal1324
    @lakshgoyal1324 21 วันที่ผ่านมา

    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.

  • @wairenlow
    @wairenlow 2 ปีที่แล้ว

    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 ปีที่แล้ว

      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.

  • @Sanskar.28
    @Sanskar.28 3 ปีที่แล้ว

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

  • @themsk9923
    @themsk9923 ปีที่แล้ว

    Thanks

  • @Life_forms
    @Life_forms 10 หลายเดือนก่อน

    thank you

  • @zmh27
    @zmh27 ปีที่แล้ว

    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

  • @contresillodenettur9828
    @contresillodenettur9828 2 หลายเดือนก่อน

    BEST VIDEO TO UNDERSTAND THIS SHIT

  • @amanshah7780
    @amanshah7780 3 ปีที่แล้ว

    Thank you maam 😊

  • @basantkumargupta9194
    @basantkumargupta9194 ปีที่แล้ว

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

  • @mrneet4189
    @mrneet4189 3 ปีที่แล้ว

    Thank you

  • @newjeannz
    @newjeannz 10 หลายเดือนก่อน

    SLAYYYY BESTIEEEE

  • @dreaminfinite9286
    @dreaminfinite9286 3 ปีที่แล้ว +1

    Very useful ❤️❤️thank u🥺

  • @sonerika4238
    @sonerika4238 2 ปีที่แล้ว

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

  • @vehuel8735
    @vehuel8735 ปีที่แล้ว +1

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

  • @ssmod
    @ssmod 2 ปีที่แล้ว

    Thanks !!!!!!!!

  • @arwaibrahim8051
    @arwaibrahim8051 3 ปีที่แล้ว

    Thank you so much!!!

  • @adjgaming426
    @adjgaming426 3 ปีที่แล้ว

    very useful, thanks so much!!!

  • @musawaleed224
    @musawaleed224 3 ปีที่แล้ว

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

  • @anurudhsingh8786
    @anurudhsingh8786 ปีที่แล้ว

    love you mam❤💞💕❣

  • @jaskiratsingh4330
    @jaskiratsingh4330 3 ปีที่แล้ว

    Tysm mam...it helps me alot!