The difference between disk, washer, and shell method

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  • Опубліковано 19 гру 2024

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  • @AshleyTheMathTutor
    @AshleyTheMathTutor  3 роки тому +105

    Hey guys, I originally made these youtube videos to help my classmates before a Calculus 2 test that we had 3 years ago. But seeing how far it blew up really encouraged me! I've decided to upload more math tutoring vidoes to help you guys! I'll be sure to upload more math tutoring videos focusing on Calculus 1, Calculus 2, Geometry, Trigonometry, and Algebra. Thank you guys so much for all the love and support! I am so happy that I could help you guys! More videos coming soon, I promise.

    • @musawaleed224
      @musawaleed224 3 роки тому +3

      Than you for your help. 🌹🌹🌹

    • @randonbones1254
      @randonbones1254 3 роки тому +3

      Taking my calc 2 test soon and this helped me understand things so much better, thank you for posting this 🙏🏻

    • @AshleyTheMathTutor
      @AshleyTheMathTutor  2 роки тому +1

      @@musawaleed224 no problem! New videos coming out today and i post biweekly!! :)

    • @AshleyTheMathTutor
      @AshleyTheMathTutor  2 роки тому +1

      @@randonbones1254 happy i could help! I have new calc 2 videos coming out today and from now on i post biweekly! Much more content is coming soon

    • @daisynussbaum1830
      @daisynussbaum1830 2 роки тому +2

      you are such a wonderful explainer and teacher 🙏🏻 thank you Ashley

  • @rachelkiss302
    @rachelkiss302 4 роки тому +90

    God Bless this woman. She just saved me for my exam tomorrow. Thank you!

  • @Withshaima
    @Withshaima 5 років тому +163

    best video ever in distinguishing between the 3 ways.

  • @SamkeloCele-p6e
    @SamkeloCele-p6e 3 місяці тому +5

    3 years later and she still saving lives, God bless you

  • @marcoarodriguez
    @marcoarodriguez Рік тому +12

    I am in Calc 2 right now and had no idea when to use the different methods until I watched your tutorial. I spent the last two days in the library looking for hints on the internet and nobody made any sense. This video makes everything so clear. Thank you!!!

  • @HamsterCatLionn
    @HamsterCatLionn 8 місяців тому +2

    Unironically one of the most clear and concise calculus videos I've ever seen. If you aren't already you should consider teaching.

  • @pfeliciano4062
    @pfeliciano4062 5 років тому +96

    Wow! This is what math teachers should be like! You organized everything so that we could actually understand the concepts and then make the connections to how and why the problem works the way it does. God bless you!! Keep on making videos please ❤️❤️❤️
    Update: I got a 95 on my test 1 because of this. Now I’m back at it for finals on Monday! Wish me blessings!

    • @AshleyTheMathTutor
      @AshleyTheMathTutor  3 роки тому +1

      Wow thank you so much! I have more math tutoring videos coming soon

  • @blahaj._blast-d7n
    @blahaj._blast-d7n Рік тому +3

    i was so confused on when to use the washer disk and shell methods. im a university student lol. this video helped me out so much. thank you so much!!!!!

  • @vka1350
    @vka1350 3 роки тому +3

    You ma'm, are a true hero. GOD BLESS THIS WOMAN TENFOLD! THANK YOU!

    • @AshleyTheMathTutor
      @AshleyTheMathTutor  2 роки тому +1

      Thanks so much!!! I appreciate you dearly. Feel free to check out my channel for more calculus/college math tutoring help. More content coming soon!

  • @luk45ful
    @luk45ful 3 місяці тому +1

    This is such a nice way of describing when to use each method! I definitely appreciate it!

  • @akshaybalaji6602
    @akshaybalaji6602 2 роки тому +6

    I'm studying for my calc 2 midterm and was looking for a resource to help me with volume of disks/washers and shells. This was a godsend! Thank you so much for explaining it so clearly in such a way that we can easily understand it!

  • @derekkinder2427
    @derekkinder2427 2 роки тому +5

    3 years after being posted and your video is still helping me get through calc 2 in college thanks so much!

  • @tootimakooti1762
    @tootimakooti1762 Рік тому +1

    this is the best easy going and most straight forward video ive seen thankyou!

  • @nelsondiaz3013
    @nelsondiaz3013 Рік тому +1

    This is probably the third time I commented on a UA-cam video in 10 years. I just had to, this is amazing. Calculus 2 is known to be one of the hardest classes you will ever encounter but you did an amazing job at explaining it. I am going to show this to my teacher because it's just too good. Thank you for the hard work you put into this video.

  • @bd-fb1ul
    @bd-fb1ul 2 роки тому +1

    Amazing video, this was the one concept that kept tripping me up. Makes so much sense now. You are a gentlewoman and a scholar.

    • @AshleyTheMathTutor
      @AshleyTheMathTutor  2 роки тому

      Wow, thank you so much! This means a lot. Happy I could help!

  • @MytheuzYecyec
    @MytheuzYecyec 26 днів тому

    Thank you so much, I watched all your videos from disk, washer, to shell and it really helped me A LOT. May God bless you and may God bless me with my exam today. 🙏🏻

  • @thebluebeyond2329
    @thebluebeyond2329 3 роки тому +10

    Even though I have watched hour-long videos on UA-cam and attended lectures. This video summed up everything I needed to know about finding the volumes of solids of revolutions. I just subscribed. I will share the video with friends and many more. I can not wait to watch more of the videos on this channel. Thank You.

    • @AshleyTheMathTutor
      @AshleyTheMathTutor  2 роки тому +1

      Thanks so much!!! Wow thanks for sharing with your friends. I really appreciate it!! Feel free to check out my channel for more calculus/college math tutoring help. More content coming soon!

  • @dabdabdabdabdab7922
    @dabdabdabdabdab7922 5 років тому +16

    Best video yet! Very simple easy and understand. This is like the 25th video I've watch and by far it is the best. Thank you so much! 🤗

    • @AshleyTheMathTutor
      @AshleyTheMathTutor  3 роки тому +1

      thank you and I am so happy I could help! I have more math tutoring videos coming soon!

  • @webosftw
    @webosftw 7 місяців тому

    This flow chart is a life saver for Calc! Thank you so much for creating this. I really appreciate it.

  • @laurareyes5297
    @laurareyes5297 8 днів тому

    I love yooouu sooo much! You made this video easy to follow and understand the subject. I wish my professor took the time to do it just like this. My professor went straight into teaching it without explaining why she was using certain methods. I'm glad I found this video before my calculus finale, that is taking place tomorrow

  • @shirley8689
    @shirley8689 2 роки тому +1

    You are a true educator that want her student to understand what they're studying. Thank you for this. I can differentiate the three methods now. God bless you!

  • @AshleyTheMathTutor
    @AshleyTheMathTutor  2 роки тому +5

    Hey guys, so a lot of people were asking what a strip is. A strips is the rectangle that I draw from the function to the axis of rotation. Like someone else in the comments pointed out, the strips are the rectangles or bars that are used to make approximations. The strip rotates 360 degrees to form a 3-D shape from 2-D rectangles. When you create infinitely many rectangles in the bounded region we can get closer to exact values.

  • @thaumaston7
    @thaumaston7 Рік тому +1

    Excellent! It's been a while since I dealt with solids of revolution from calc 2, but I needed to review this topic for something. I programmed the formulas in my calculator, and the only thing I needed to remember is when to use washer vs shell. This video cuts to the chase and is more helpful than any other I've seen. However, I think there's a simpler way to think of it. I only have two programs for this in my calculator -- one for washer, one for shell. There's no need for "disk". Disk is just a variation of washer. In my washer code, I enter a value for any separation from the rotating axis. When there's no separation, the value is 0 (creating the "disk"). This is also how I've seen it taught in various calc 2 texts -- just washer vs. shell. I think it's easier to think of two choices rather than 3.

  • @SinisterSoundwaves
    @SinisterSoundwaves 4 роки тому +4

    For real! Thank you so much for making this! Been spending forever trying to figure it out.

    • @AshleyTheMathTutor
      @AshleyTheMathTutor  3 роки тому

      Thank you so much! I have more math tutoring videos coming soon

  • @onlyholliday7334
    @onlyholliday7334 3 роки тому +4

    Thanks Ashley, your flow charts and examples made my homework really simple!!! Thanks for posting this.

    • @AshleyTheMathTutor
      @AshleyTheMathTutor  2 роки тому

      No problem!! I’m happy you enjoy it. Feel free to check out my channel for more calculus/college math tutoring help. More content coming soon!

  • @melkote
    @melkote 6 місяців тому

    Bless you oml you are such an easy person to listen to. Was reviewing for calc exam soon and this video summarized one of those sections extremely well!

  • @valleriesun5664
    @valleriesun5664 Рік тому

    I'm sitting here the day before my test confused as heck. Your flow chart is literally saving me XD. It's so much clearer now. Thanks so much for posting this video ^^

  • @srinathsatuluri2872
    @srinathsatuluri2872 3 роки тому +4

    even a teacher has never explained like this. this tutorial was so helpful :)

    • @AshleyTheMathTutor
      @AshleyTheMathTutor  3 роки тому

      Thank you! I'm happy to help. More math tutoring videos coming soon

  • @margeyts3325
    @margeyts3325 2 роки тому +1

    I have an exam 7 hours later, God bless this video for helping me cram

  • @williammwanza8042
    @williammwanza8042 5 місяців тому +1

    Excellent explanation🎉

  • @asinner
    @asinner 2 роки тому +3

    I was still a little confused by these concepts until I watched this video. Great explanation. Thank you!

    • @AshleyTheMathTutor
      @AshleyTheMathTutor  2 роки тому

      No problem! Happy to help. I have more calculus tutoring videos on my channel too if you need additional help. Thanks for viewing!

  • @pr0dsatya
    @pr0dsatya 3 роки тому +1

    Thank you so much. I went through like 2 years of calc without knowing this. Now Im preparing for a calc 2 final and this is CLUTCH. The table you showed in the beginning is so helpful and organized. Thank you so much

    • @AshleyTheMathTutor
      @AshleyTheMathTutor  2 роки тому

      Thanks so much!! Im so happy I could help. Feel free to check out my channel for more calculus/college math tutoring help. More content coming soon!

  • @muh.hamiddd
    @muh.hamiddd 5 місяців тому

    Oh my god, it's a very difficult material but you manage to simplify it. What a phenomenal video. You've just helped me to understand the materials under 15 minutes. This video deserves to be on top of the searching lists so that people can notice it. You have just saved me and my friends to comprehend the topic. Hopefully, you'll become one of the best math youtube channel tutorials in the future. I'll be watching A.S.A.P. Thank you so much 😃.

  • @subhammaharana1540
    @subhammaharana1540 Рік тому

    It is the best video for distinguish between disk, shell and washer method. Nice explanation 😊😊

  • @der_gato
    @der_gato 2 роки тому

    this video made such a complicated concept super simple to me. my professor and the textbook made it sound like nonsense. thank you so much, i wish i found this video sooner.

  • @andrewtrinh270
    @andrewtrinh270 Рік тому

    I never comment on anything but this video was super helpful. Thanks!

  • @MariaAzevedo__
    @MariaAzevedo__ 15 днів тому

    this is the best tutorial ive ever seen tysm u are a queen

  • @javiercantorne7300
    @javiercantorne7300 3 роки тому +1

    Well explained! this kind of teaching is what I like the most

    • @AshleyTheMathTutor
      @AshleyTheMathTutor  2 роки тому

      Wow thanks so much!! Feel free to check out my channel for more calculus/college math tutoring help. More content coming soon!

  • @quinnpuffer7901
    @quinnpuffer7901 Рік тому

    Amazing video, explained everything super simple and easy to understand

  • @TheJackTheLion
    @TheJackTheLion 10 місяців тому

    I have to say, well done. This will help a lot of people.

  • @JRyanEE
    @JRyanEE Рік тому

    This is the kind of teaching I can learn from.

  • @BrookeLarimer-tw6mu
    @BrookeLarimer-tw6mu 10 місяців тому

    The hidden heroes of UA-cam strike again! Have my first calc 2 exam in two days. Thank you so much!

  • @AnnaHoweVlogs
    @AnnaHoweVlogs 4 роки тому +1

    I have spent hours watching videos about this subject and I couldn’t grasp the concept. In 12 minutes you helped me understand it. Thank you!! Your teaching method/style is amazing!

  • @nicklehman3984
    @nicklehman3984 4 роки тому +3

    very helpful, thanks for taking the time to explain this.....makes choosing the method very simple ( I struggled with visualizing these rotations at times )

  • @waactics
    @waactics Рік тому

    I APPRECIATE YOU SO MUCH, it’s been challenging understanding this concept in class but your videos help so much!!!

  • @audreyzoso574
    @audreyzoso574 3 роки тому +1

    God bless you and your clarity, much needed thank you!!!

    • @AshleyTheMathTutor
      @AshleyTheMathTutor  2 роки тому

      No problem! Feel free to check out my channel for more calculus/college math tutoring help. More content coming soon

  • @slowpoke8097
    @slowpoke8097 8 місяців тому

    Thank you so much! This has been the best video on describing volume, you've helped me tremendously. My grade thanks you 😭✨

  • @arnab8145
    @arnab8145 3 роки тому +2

    That is so nice and precise. It helped me prepare for my exam. Thank you!

    • @AshleyTheMathTutor
      @AshleyTheMathTutor  2 роки тому

      Happy to help!! Feel free to check out my channel for more calculus/college math tutoring help. More content coming soon!

  • @mohammedalkitbe2301
    @mohammedalkitbe2301 2 роки тому +1

    You saved my life ❤️❤️ from Dubai

  • @rubymatsuno8846
    @rubymatsuno8846 2 роки тому +1

    This video helped so much! I have watched a few other videos about this and I couldn't understand, but this was the first video that made sense. Thank you!!!

  • @KIRBYCASICAS-ki2tp
    @KIRBYCASICAS-ki2tp 7 місяців тому

    I immediately lower the volume of my device when you're about to draw a strip haha
    anyways, thank you for this, you delivered this concept well that made calc2 becomes easy

  • @zy8753
    @zy8753 3 роки тому +1

    Thank you so much! My tutor shared this with me, and w/ some more practice, I believe I'll finally discern which right method to use! God Bless 💗

  • @brax300
    @brax300 3 місяці тому

    Flow chart is awesome. Definitely using this. Thanks!

  • @liamareli368
    @liamareli368 4 роки тому +1

    Dude. When I say thank you, I mean THANK YOU!! I hope you have a blessed day.

    • @AshleyTheMathTutor
      @AshleyTheMathTutor  3 роки тому

      No problem! Same to you. More math tutoring videos coming soon

  • @Kaleabe25
    @Kaleabe25 2 роки тому +2

    Best explanation! Thank you for sharing your thoughts 🙏

  • @lilbigmac5824
    @lilbigmac5824 3 роки тому +1

    Fr thanks, my Calc AB teacher is great but she didn’t do a good job teaching this lesson imo, I’m not very geometrically inclined so the flowchart and the idea of the curve “sitting” on the axis of rotation really helped me! Thanks and good luck on the channel :)

    • @AshleyTheMathTutor
      @AshleyTheMathTutor  2 роки тому

      Wow thanks so much!! I really appreciate it. Feel free to check out my channel for more calculus/college math tutoring help. More content coming soon!

  • @crispychickenwing
    @crispychickenwing 4 роки тому

    Calculus test in 3 hrs here we gooooo thanks for the video! Very nice n easy to understand

  • @atulvenky1275
    @atulvenky1275 Рік тому

    First video that actually made sense to me, thanks!

  • @5sauce881
    @5sauce881 3 роки тому +1

    thank you so much you really help me a lot god bless you and more blessings to comeee💕

    • @AshleyTheMathTutor
      @AshleyTheMathTutor  2 роки тому

      Omg thank you so much!! I’m happy I could help you. Feel free to check out my channel for more calculus/college math tutoring help. More content coming soon!

  • @gB-gm7vy
    @gB-gm7vy 4 роки тому +2

    I’ve got to get me one of those flow chart thingys.
    Excellent job on the video - thank you

  • @tentan4817
    @tentan4817 Рік тому

    Thank youuuuu so muchhh ashley! i was having a problem in picking which formula to use. Your way has solve my problem,lots of love to you^^

  • @abdallakalil290
    @abdallakalil290 4 роки тому +5

    AAAAMMMMEEEEZING Well organized. imagine if you was my Professor. you are more than my professor Thanks a lot. a have got D on my quiz but in my next exam for sure I will get A.

    • @AshleyTheMathTutor
      @AshleyTheMathTutor  3 роки тому +1

      I'm so happy i could help! More math tutoring videos coming soon

  • @Izzy_627
    @Izzy_627 3 роки тому +1

    You are literally an angel, I have an exam in two days and this all finally makes sense 💛

    • @AshleyTheMathTutor
      @AshleyTheMathTutor  2 роки тому

      Happy to help! Feel free to check out my channel for more calculus/college math tutoring help. More content coming soon!

  • @yasnarahmani3033
    @yasnarahmani3033 2 роки тому +1

    Amazing video and organization thank you

    • @AshleyTheMathTutor
      @AshleyTheMathTutor  2 роки тому

      Thanks so much! I have more calculus tutoring videos on my channel too if you need additional help :)

  • @alessandra3600
    @alessandra3600 3 роки тому +1

    You have just saved my life, thank you so much 🙏🏽

    • @AshleyTheMathTutor
      @AshleyTheMathTutor  3 роки тому

      Happy I could help! More math tutoring videos coming soon 🙏🏽

  • @ariannaarteaga
    @ariannaarteaga 3 роки тому +1

    what a god.... literally have a quiz tomorrow big help!!!! thank you

    • @AshleyTheMathTutor
      @AshleyTheMathTutor  3 роки тому

      No problem! I have more calculus 2 content up and I will be uploading content about every 2 weeks

  • @ritvikindupuri2388
    @ritvikindupuri2388 2 місяці тому

    Late, and just finding about this method as I am doing this in Calculus 2. Love the method however one thing is i believe y= functions should have a horizontal strip as the function is defined for a range of x-values, and the y-values correspond to the output of the function at each x. So, horizontal strips (which focus on how y varies for each x) are the natural way to analyze these types of functions.
    In contrast, x = functions would use vertical strips since they are defined for ranges of y-values and show how x depends on y.

  • @demifire2318
    @demifire2318 3 роки тому +1

    this video was extremely helpful! Thank you

    • @AshleyTheMathTutor
      @AshleyTheMathTutor  2 роки тому

      Happy to help! Feel free to check out my channel for more calculus/college math tutoring help. More content coming soon!

  • @snowballdrifter8774
    @snowballdrifter8774 2 роки тому

    Thank you so much!! After seeing this video, I know I would not fail my calculus exam tomorrow

  • @ianmedin2762
    @ianmedin2762 9 місяців тому

    I just learned so much it's all clicking now!!! Thank you!

  • @vbhalo163
    @vbhalo163 3 місяці тому

    Great video, it helped a lot. Just one little mistake, for the problem y=3x-10 and y=6-x the lines are switched so it tripped me up as i tried graphing the functions by hand. Besides that all great stuff

  • @mohamedarshad1244
    @mohamedarshad1244 2 роки тому +1

    Helped me a lot.......THANK YOU SO MUCH!!!

    • @AshleyTheMathTutor
      @AshleyTheMathTutor  2 роки тому

      No problem! Thanks for viewing :) I have more calculus tutoring videos on my channel too if you need additional help

  • @studyroa9045
    @studyroa9045 3 роки тому +1

    thank you teacher of the day

    • @AshleyTheMathTutor
      @AshleyTheMathTutor  2 роки тому

      No problem! Happy i could help. Feel free to check out my channel for more calculus/college math tutoring help. More content coming soon!

  • @kelly-bc6on
    @kelly-bc6on 11 місяців тому

    what an absolute GEM of a video, thank you!

  • @nachiket481
    @nachiket481 2 роки тому

    Thank you so much for making such a nice video! Very patient in your explanations. Have a great day and keep up the helpful videos! Very helpful once again.

    • @AshleyTheMathTutor
      @AshleyTheMathTutor  2 роки тому

      Thanks so much!! I'm so happy I could help! I have more calc 2 videos on my channel if you need more help in calc 2, and I have even more videos coming soon! :)

  • @sssm9229
    @sssm9229 4 роки тому +1

    Thank you so much ! This explained the difference so well in just a couple of minutes.

  • @lukes9783
    @lukes9783 2 роки тому +1

    thank you very much this is just the right thing i was looking for for my test tommorow ty :D

  • @ZachKTS
    @ZachKTS 4 роки тому

    Thank you for breaking it down in a fast and easy way.

  • @katesmith6528
    @katesmith6528 Рік тому

    This was beyond helpful!! Thank you so much

  • @Hydrogenautumn
    @Hydrogenautumn 3 роки тому +1

    Best explanation! thank you for making this

  • @dahliatodorov9263
    @dahliatodorov9263 Рік тому

    u just saved my life i love you

  • @hamzamehmood1571
    @hamzamehmood1571 3 роки тому +1

    nice explanation

  • @nouraalsaawi6043
    @nouraalsaawi6043 4 роки тому +5

    Thank you so so so much. You made everything perfectly clear!!

    • @AshleyTheMathTutor
      @AshleyTheMathTutor  3 роки тому

      You are very welcome! More math tutoring videos coming soon

  • @vershamaheshwari9545
    @vershamaheshwari9545 2 роки тому +1

    Well explained⭐

    • @AshleyTheMathTutor
      @AshleyTheMathTutor  2 роки тому

      Thanks so much!!! I have new calc 2 videos coming out today and from now on i post biweekly! more content is coming soon.

  • @mariaadnan7202
    @mariaadnan7202 3 роки тому +1

    Thanksss ❤️❤️you make it clear

    • @AshleyTheMathTutor
      @AshleyTheMathTutor  2 роки тому

      Happy I could help!!! Feel free to check out my channel for more calculus/college math tutoring help. More content coming soon!

  • @hawadrammeh8870
    @hawadrammeh8870 4 роки тому +1

    love seeing smart black women! thank you so much !

    • @AshleyTheMathTutor
      @AshleyTheMathTutor  3 роки тому

      aww thanks! and no problem, i am happy to help. More math tutoring videos coming soon

  • @dr.jenkem7574
    @dr.jenkem7574 2 роки тому +2

    Very helpful! Thank you!

  • @Princess71826
    @Princess71826 4 роки тому +2

    Shout out to you girl! this was mad helpful

  • @Hollywood24297
    @Hollywood24297 2 роки тому

    You just helped me so muchhhh 😩 you the real MVP 😏😊

  • @dannydergham6173
    @dannydergham6173 2 роки тому +1

    you have saved lives

  • @kottamanvith3120
    @kottamanvith3120 4 роки тому

    I loved the explanation really understood everything 🎁

  • @nevin3543
    @nevin3543 Місяць тому

    You are a LEGEND. Thank you

  • @doordashguy9692
    @doordashguy9692 2 роки тому +1

    This is really helpful! Thank you!

  • @area3o1
    @area3o1 11 місяців тому

    most under rated math video

  • @jayxxautumn2422
    @jayxxautumn2422 10 місяців тому

    i have exam tmr and this literally saved me !!

  • @FinalXGameing
    @FinalXGameing 3 роки тому +1

    You're Godsend. I love you.

    • @AshleyTheMathTutor
      @AshleyTheMathTutor  2 роки тому +1

      Haha love you too!! Thanks so much. Feel free to check out my channel for more calculus/college math tutoring help. More content coming soon!

  • @trinity7235
    @trinity7235 4 роки тому +1

    You just saved me omg thank you for making it so simple!!!!!!

    • @AshleyTheMathTutor
      @AshleyTheMathTutor  3 роки тому

      I'm so happy i could help! More math tutoring videos coming soon

  • @Ondroth
    @Ondroth 3 роки тому

    Thank you so much you don't know how much you have helped me ♥

    • @AshleyTheMathTutor
      @AshleyTheMathTutor  3 роки тому

      omg i am so happy i could help! More math tutoring videos coming soon

  • @nouraaldhaheri9022
    @nouraaldhaheri9022 3 роки тому +3

    Thank you I studied this with a tutor and the teacher but never understood it 😂😂

    • @AshleyTheMathTutor
      @AshleyTheMathTutor  2 роки тому

      Haha happy i could help!! Feel free to check out my channel for more calculus/college math tutoring help. More content coming soon!

  • @caylanwilcox9172
    @caylanwilcox9172 3 роки тому +1

    Thank you my teacher

    • @AshleyTheMathTutor
      @AshleyTheMathTutor  2 роки тому

      No problem!! Feel free to check out my channel for more calculus/college math tutoring help. More content coming soon!