Calculus 1: Max-Min Problems (10 of 30) Largest Cylinder that Fits in a Circular Cone

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  • čas přidán 8. 09. 2024

Komentáře • 35

  • @kushalahmed
    @kushalahmed Před 6 měsíci +1

    Thank you. I got some very important directions on how to think when I face these kinda problems.

  • @mathieufortin5129
    @mathieufortin5129 Před 5 lety +5

    Hello Michel, thanks for all your lectures, very interesting.
    For this one, I tried use Thales theorem to express R with respect to H, so I get H=5/3R. When I use this value of H in the cylinder volume's equation, after derivative, I obtain V' = 0 only for R=0.
    I understand I found a min instead of a max, but it's quite disturbing to me.
    When there is several constraints possible, is there a tip to know which one we have to choose ? Or you just have to try one constraint in order to discover it wasn't the one who works until you find the right one ?
    Regards,

  • @ramghautaam7135
    @ramghautaam7135 Před 6 lety +6

    why do we need to use slope instead of hypotenuse?

  • @jaybanglos5781
    @jaybanglos5781 Před 4 lety +3

    i think Vcone = 1/3(pi)(12)^2(20)=3015.93 and Vcylinder=(pi)(8)^2(6.67)=1341.08 is the answer sir

    • @cookieboi4449
      @cookieboi4449 Před 4 lety

      This is also what I got,,, small mistake by Michel,,, I enjoy his very well explained approach to maths.

    • @himadridas8221
      @himadridas8221 Před 3 lety

      Vcylinder = 1340.41

    • @mulatiedemis3501
      @mulatiedemis3501 Před rokem +1

      @@cookieboi4449 i think we do not use the volume of cone to solve this problem

  • @masterchief44004
    @masterchief44004 Před 10 měsíci +1

    Saved my mid-term ! Thank you

  • @honeyjelly3822
    @honeyjelly3822 Před 3 lety +2

    Thank you so much! You are my lifesaver

  • @shahzadasafirullah5251
    @shahzadasafirullah5251 Před 7 lety +2

    AoA ........sir ur online lectures are very beneficient for me ......... and also i feel improve ur self......i request to u sir please upload in electrical engineering chapter 9 to chapter 16 lectures these chapters are missing please upload them......thank u sir.

  • @njelekaharriet6107
    @njelekaharriet6107 Před 2 lety +1

    You're a good teacher

    • @MichelvanBiezen
      @MichelvanBiezen  Před 2 lety +1

      We appreciate the comment. Glad you like our videos. 🙂

  • @hanumanprasadyedla5275
    @hanumanprasadyedla5275 Před rokem +1

    why m = -20/12 and not just 20/12

    • @MichelvanBiezen
      @MichelvanBiezen  Před rokem +2

      m represents the slope and in this example the slope is negative

  • @abdirahmanibrahimahmed9621

    prf thanks alot ı want to ask one questıon y=mx+c where -12 from thanks?

    • @MichelvanBiezen
      @MichelvanBiezen  Před 3 lety

      The slope of the side of the cone = rise / run = (-20 cm) / (12 cm)

  • @anmolsingh-dn6fx
    @anmolsingh-dn6fx Před 5 lety +1

    sir , how can we do it for a cylinder inscribed in a sphere

  • @ganeshnick6357
    @ganeshnick6357 Před 3 lety +1

    I would like to become u r student
    From india
    Impressive session

  • @kyleacosta6432
    @kyleacosta6432 Před 6 lety +1

    Sir why is b = 20?

    • @MichelvanBiezen
      @MichelvanBiezen  Před 6 lety +2

      The height of the cone is 20. If we let the side of the cone be represented by a straight line, and we position the x-y axis so that the y-axis goes through the center of the cone, then the y-intercept is at the top of the cone.

    • @jfisher1376
      @jfisher1376 Před měsícem

      Doesn’t it say the radius is 20, not the height? On the board.

  • @lhuss99
    @lhuss99 Před 7 lety +3

    Hello Mr. Van Biezen,
    You're videos have been a wonderful help and have greatly improved my grades. is there anyway to contact you by email?
    thanks

    • @MichelvanBiezen
      @MichelvanBiezen  Před 7 lety +1

      You can send private messages via this channel on youtube, or you can simply send a message via this method and I will typically catch it.

  • @raradsm1914
    @raradsm1914 Před 5 lety +1

    You're showing too much of your back.

  • @ramghautaam7135
    @ramghautaam7135 Před 6 lety +2

    why do we need to use slope instead of hypotenuse?

  • @ramghautaam7135
    @ramghautaam7135 Před 6 lety +5

    why do we need to use slope instead of hypotenuse?

    • @ccuuttww
      @ccuuttww Před 5 lety

      if u don't like this method u can use similiar triangle
      12-R/12 = = 20-H/20 or
      20/12 = 20-H/12-R
      slove for H or R and the remaining is same