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Thread: Layout of a truncated cone

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    Senior Member | IA Veteran Catnip's Avatar
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    Default Layout of a truncated cone

    If someone can help me figure out the measurements here, I will happily rep them +28 every time I see them post and I can rep.

    http://mathcentral.uregina.ca/QQ/dat....06/phil1.html

    My measurements known are (labelled according to the diagram in the link):

    * t = 2.5" diameter
    * b = 4" diameter
    * w = 14"

    I've worked it out, but I'm 90% sure I'm messing up somewhere.

    I've gotten:
    r = 7.799
    R = 12.559
    Inner circle = 57 degrees

    Just doesn't make sense considering those numbers are pretty much the same as the circumferences.
    '92 C2500 6.5 Turbo Diesel | '96 240sx

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    ホンダ・インテグラ allout13's Avatar
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    Quote Originally Posted by Catnip View Post
    If someone can help me figure out the measurements here, I will happily rep them +28 every time I see them post and I can rep.

    http://mathcentral.uregina.ca/QQ/dat....06/phil1.html

    My measurements known are (labelled according to the diagram in the link):

    * t = 2.5" diameter
    * b = 4" diameter
    * w = 14"

    I've worked it out, but I'm 90% sure I'm messing up somewhere.

    I've gotten:
    r = 7.799
    R = 12.559
    Inner circle = 57 degrees

    Just doesn't make sense considering those numbers are pretty much the same as the circumferences.
    Im confused...

    radius should be half the diameter so...
    r=1.25"
    R=2"

    or am I misunderstanding something?

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    Senior Member | IA Veteran Catnip's Avatar
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    Quote Originally Posted by allout13 View Post
    Im confused...

    radius should be half the diameter so...
    r=1.25"
    R=2"
    or am I misunderstanding something?
    If you were making a 2.5" cylinder and a 4" cylinder, you'd be correct, but when you're doing a truncated cone unfolded, the length of the cone and difference in diameter, changes the arc radius of the arc length that forms the circumference once the shape is rolled into the truncated cone.
    '92 C2500 6.5 Turbo Diesel | '96 240sx

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    Another Honda Boy 98blackcivic's Avatar
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    id help but my mind is fried after doing about 100 derivative problems...my minds taking derivatives upon derivatives out of normal things isee around me


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    ホンダ・インテグラ allout13's Avatar
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    I may be way off, but Im bored as fuck. lol
    here's my work

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    ホンダ・インテグラ allout13's Avatar
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    ahhhh

    Im getting r=23.333333 R=37.333333
    inner circle is 19.29 degrees

    according to the page: the outside radius R is simply w more than the inside radius r so the answer you got appears to be way off.
    Last edited by allout13; 04-16-2010 at 07:58 PM.

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    Senior Member | IA Veteran Catnip's Avatar
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    Quote Originally Posted by allout13 View Post
    ahhhh

    Im getting r=23.333333 R=37.333333 Im not sure how accurate this is, but I'll rework it

    according to the page: the outside radius R is simply w more than the inside radius r so the answer you got appears to be way off.
    *EDIT** I guess I quoted you as you edited your post, LOL

    Those numbers look right, actually!

    __________________________________________________ __________________________________________________

    Roll a piece of paper into a cone, cut the ends off so they sit flat when it's set down on a table or something. Cut the cone down the length of the "height", so that it unfolds like the diagrams on the length. I think you'll understand it a little better.

    The radii of the two diameters created, won't be the radii used if you were making two seperate cylinders that didn't taper.

    The two radii will be a number bigger than any measurement given, as the length isn't short compared to the taper. If that makes sense.
    '92 C2500 6.5 Turbo Diesel | '96 240sx

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    Senior Member | IA Veteran Catnip's Avatar
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    That all looks great. I'll check it out when I get a chance to lay it out on a poster board. Better than the numbers I kept getting

    Thanks man!
    '92 C2500 6.5 Turbo Diesel | '96 240sx

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    ホンダ・インテグラ allout13's Avatar
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    Quote Originally Posted by Catnip View Post
    That all looks great. I'll check it out when I get a chance to lay it out on a poster board. Better than the numbers I kept getting

    Thanks man!
    no problem!

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    Senior Member | IA Veteran Catnip's Avatar
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    The answer you gave worked perfectly! Thanks again, bro.
    '92 C2500 6.5 Turbo Diesel | '96 240sx

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    I'm Glad I'm Human CHRISNITTOLO's Avatar
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    You're welcome.
    Quote Originally Posted by tdurr View Post
    sigged.


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    I♥mydick ٩(-̮̮̃•̃)۶ FasTech's Avatar
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    Learn math, Evan... dumbass. lol.
    "Damn, Its Tyler"
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    Quote Originally Posted by NVM View Post
    Learn math, Evan... dumbass. lol.
    You couldn't scratch your ass hard enough to figure out 4 is the answer to 2+2.
    '92 C2500 6.5 Turbo Diesel | '96 240sx

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    I♥mydick ٩(-̮̮̃•̃)۶ FasTech's Avatar
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    Quote Originally Posted by Catnip View Post
    You couldn't scratch your ass hard enough to figure out 4 is the answer to 2+2.

    How cute... did you think of that yourself? I mean, just hard to believe seeing as how you can't do 4th grade math. lol.
    "Damn, Its Tyler"
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    Senior Member | IA Veteran Catnip's Avatar
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    Quote Originally Posted by NVM View Post
    How cute... did you think of that yourself? I mean, just hard to believe seeing as how you can't do 4th grade math. lol.
    Sorry I was frustrated after trying a few different layouts from my teacher that didn't work? Last I checked, you didn't give an answer, so you have no room to talk.
    '92 C2500 6.5 Turbo Diesel | '96 240sx

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    I♥mydick ٩(-̮̮̃•̃)۶ FasTech's Avatar
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    Quote Originally Posted by Catnip View Post
    Sorry I was frustrated after trying a few different layouts from my teacher that didn't work? Last I checked, you didn't give an answer, so you have no room to talk.
    I'm too cool for math. Would have gave you an answer but you can't understand this so you couldn't understand my answer. See what I did thar.
    "Damn, Its Tyler"
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    I'm Glad I'm Human CHRISNITTOLO's Avatar
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    Quote Originally Posted by Catnip View Post
    You couldn't scratch your ass hard enough to figure out 4 is the answer to 2+2.
    I could. But it wouldn't make much since to do so.
    Quote Originally Posted by tdurr View Post
    sigged.


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    Evan, BTW repped, cause you're that much of a smartass/ lol
    "Damn, Its Tyler"
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    I'm about to fucking reply to all the threads with my face if I don't get off and go to sleep. Goodnight, guys.
    Quote Originally Posted by tdurr View Post
    sigged.


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