Volumes of Revolution about x-axis - Introduction : ExamSolutions

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  • Опубліковано 23 сер 2024
  • Introduction tutorial on volumes of revolution about x axis.
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КОМЕНТАРІ • 72

  • @craftyunicorn2260
    @craftyunicorn2260 6 років тому +45

    I can't explain to your how much your videos have helped me! Your literally the reason I'm doing so well in school! You have saved me bucket loads to stress and helped me to grasp concepts so quickly! A HUGE thank you from a current A level student!

    • @ExamSolutions_Maths
      @ExamSolutions_Maths  6 років тому +13

      I am pleased to hear that things are picking up for you and you are getting your confidence back. Well done. May you go from strength to strength.

  • @SalmanSheikh-ht5cq
    @SalmanSheikh-ht5cq Рік тому +4

    When our teacher introduced us to this topic, I spent the entire lesson struggling to understand what he meant by "revolution". You just broke it down into the simplest way possible. I really appreciate the drawing because they were key to helping me visualize what happens. Your drawing are not bad either, they're quite decent tbh! Thank you!

  • @che6737
    @che6737 3 роки тому +3

    Thank you so much for this video. I did calculus in High school and never could get my head around this. I am a very visual person and my teacher was not. Now retaking Calculus in college, you've helped me clear all my confusion. I am acing this class.
    I loved the beautiful drawings and neat setup. Thank you again!

  • @studyingmk
    @studyingmk 5 років тому +11

    Hello thank you this video was so helpful! I'm not too sure but I think there was an error for the final answer as I am getting 1016/15 not 1066/15

    • @ExamSolutions_Maths
      @ExamSolutions_Maths  5 років тому +13

      Oops! you are right. Just checked it. Careless mistake on my part on reading the calculator. Should have gone to Spec-savers!

    • @leruomonang9825
      @leruomonang9825 4 роки тому +1

      This mistake had me throwing stationary. Thanks a lot smh

    • @prudencenkirote8734
      @prudencenkirote8734 3 роки тому

      This had me worried that I had got it wrong, thank you

  • @1973jdmc
    @1973jdmc 5 років тому +11

    You are a legend- Many thanks

  • @ExamSolutions_Maths
    @ExamSolutions_Maths  11 років тому +3

    Basic expanding of the bracket (x^2+1)^2

  • @rosette_renah
    @rosette_renah 3 роки тому +3

    Nice video,thanks for the introduction to this.Though at7:32 ,how did you get that 1066/15Π coz i haven't got that as my answer

    • @ExamSolutions_Maths
      @ExamSolutions_Maths  3 роки тому +3

      Yes ,thanks good spot- it's a small typo. The correct volume is pi*((348/5) - (28/15)) = 1016/15pi

    • @rosette_renah
      @rosette_renah 3 роки тому

      @@ExamSolutions_Maths OK,,thanks

    • @arishbutt1030
      @arishbutt1030 3 роки тому

      Would have spent half an hour why am I getting wrong answer thanks mate😅

  • @KMulaa
    @KMulaa 11 років тому

    You are amazing! Thank you so much! I wouldn't be able to pass my A levels without you!

  • @zz-ul8vw
    @zz-ul8vw 3 роки тому +1

    you're saving my A Levels TT-TT

  • @adamkwasny465
    @adamkwasny465 10 років тому +1

    Your tutorials are very helpful. Thank you!

  • @malcolmmahwire3743
    @malcolmmahwire3743 3 роки тому

    Thank u. Am passing my Cambridge exam today because of u

  • @abhi20user-z8jm5my9p
    @abhi20user-z8jm5my9p 3 роки тому +1

    Sir, please explain how to draw parametric and polar curves.

  • @mikerosz7212
    @mikerosz7212 10 років тому +1

    The region to be revolved about y = 1 should be bounded by the graph of y = e^-x and the x-axis from x = 0 to x = 1.

  • @ExamSolutions_Maths
    @ExamSolutions_Maths  13 років тому

    @Nicola72av Yes it is. make sure a and b are y values

  • @ExamSolutions_Maths
    @ExamSolutions_Maths  13 років тому

    @daspinguru Thanks for that. I have now added an annotation.

  • @priyankaghule1388
    @priyankaghule1388 3 роки тому +1

    Thanks for help me

  • @mathmadekapapero
    @mathmadekapapero Рік тому +1

    life saver

  • @sadmarcharicheese2041
    @sadmarcharicheese2041 Рік тому

    is this a level or further maths?

  • @tiffanypersad4603
    @tiffanypersad4603 11 років тому

    can u do some more examples of these using different equations? it will make understanding and answering questions easier.

  • @mahazaroug6031
    @mahazaroug6031 7 років тому +11

    I got the volume = 1016/15 pi

  • @ExamSolutions_Maths
    @ExamSolutions_Maths  11 років тому

    Thanks

  • @nunaziz4199
    @nunaziz4199 12 років тому

    well done..u r really a teacher...dank u well.

  • @tiffanypersad4603
    @tiffanypersad4603 11 років тому

    thank you for explaining it to me easily i now understand what to do.

  • @ExamSolutions_Maths
    @ExamSolutions_Maths  11 років тому

    A good question but one that I cannot answer here as it is too involved and hard to describe using just text. I have made a note now to add this to my list and do at some point.

  • @emosehkhamofu6034
    @emosehkhamofu6034 9 років тому +1

    Thank you!

  • @azwi186
    @azwi186 11 років тому

    I found this question saying that, show that the volume of solid formed when R is rotated completely about x-axis is 4/3 pie, what does that mean about being rotated?

  • @ramyagururajan
    @ramyagururajan 5 років тому

    hey
    so do the limits given always show what axis its rotated around

  • @uoyebut8953
    @uoyebut8953 Рік тому +2

    Isnt it 1016 over 15 pi

  • @karavaithamizh7173
    @karavaithamizh7173 2 роки тому

    Thank you so much sir 🤞

  • @saadbinliakot
    @saadbinliakot 4 роки тому

    what is the app u are using ?

  • @deepjayshah691
    @deepjayshah691 5 років тому +1

    Thank you

  • @xBustedHeart
    @xBustedHeart 9 років тому

    this was a mighty aid for my exam review, tysm

  • @rangaswamy8604
    @rangaswamy8604 3 роки тому

    Good video

  • @michaeldonkor921
    @michaeldonkor921 Рік тому

    Great

  • @00Pinkbabe00
    @00Pinkbabe00 13 років тому

    Thanks this was helpful :)

  • @qualquan
    @qualquan Рік тому +1

    good

  • @ranblake3165
    @ranblake3165 Рік тому

    Audio. But very helpful best drawings

  • @mensamoo
    @mensamoo 4 роки тому

    Is this required in Edexcel A level? I have a summary of changes (2017)stating it is not. Yet a 2018 C4 paper includes it. Please help...

    • @ExamSolutions_Maths
      @ExamSolutions_Maths  4 роки тому

      C4 is the old module surely? This is now on the new spec for Further Core Pure Maths.

    • @mensamoo
      @mensamoo 4 роки тому

      @@ExamSolutions_Maths yes, but the summary of changes was for the new specification. I have searched the new spec for it- can't see it. Thanks for your work by the way. I have contributed.

    • @mensamoo
      @mensamoo 4 роки тому +1

      I found it in Further Maths spec. Thanks

    • @ExamSolutions_Maths
      @ExamSolutions_Maths  4 роки тому

      @@mensamoo No problem

    • @ExamSolutions_Maths
      @ExamSolutions_Maths  4 роки тому

      @@mensamoo Thank you

  • @SaurabhSingh-md6co
    @SaurabhSingh-md6co 6 років тому

    thank u so much sir

  • @supawills
    @supawills 13 років тому

    excellent drawing, no worries pal :)

  • @samgirl964
    @samgirl964 6 років тому

    Thankyou

    • @ExamSolutions_Maths
      @ExamSolutions_Maths  6 років тому +2

      I know you say thanks a lot and I appreciate it. Thank you for watching.

  • @ExamSolutions_Maths
    @ExamSolutions_Maths  13 років тому

    @lolkiwi Thanks

  • @mikerosz7212
    @mikerosz7212 10 років тому

    I have been watching your videos and I'm still little confused on how to approach this problem

    • @ExamSolutions_Maths
      @ExamSolutions_Maths  10 років тому

      Just translate the graph down by one unit so that it would give the same volume as if spun round the x-axis. so use y=(e^-x) - 1

  • @Bschujas
    @Bschujas 11 років тому

    Sounds like the "how you like them apples" guy from Good Will Hunting...minus the accent of course.

  • @thedarkfire7580
    @thedarkfire7580 3 роки тому

    I might be wrong but isn't it 1016 not 1066?

    • @ExamSolutions_Maths
      @ExamSolutions_Maths  3 роки тому +1

      You are indeed correct. Well done for checking and confirming.

  • @sumitmahto7546
    @sumitmahto7546 2 роки тому

    11years😱

  • @brucesewe6431
    @brucesewe6431 2 роки тому

    nobel

  • @iamatrollquirrell2436
    @iamatrollquirrell2436 11 років тому

    It is spelt pi, not pie. That's a food, not a Greek grapheme

  • @Freakybananayo
    @Freakybananayo 5 років тому

    I thought there would be a proof

  • @deathbypixel7765
    @deathbypixel7765 10 років тому

    you spelt "pie" wrong lol

  • @moishah7
    @moishah7 12 років тому

    accidently pressed dislike haha