Login

Welcome, Guest. Please login or register.

May 24, 2025, 03:38:17 pm

Author Topic: cone... correct me if i'm wrong.  (Read 857 times)  Share 

0 Members and 1 Guest are viewing this topic.

chrisjb

  • Victorian
  • Part of the furniture
  • *****
  • Posts: 1047
  • ROAR
  • Respect: +64
cone... correct me if i'm wrong.
« on: November 10, 2010, 10:48:51 pm »
0
Hello Maths Methods CAS,

I'm not doing methods, but I had a look at your 'cone of death' just before and it seem to me that there was a much more simple way to solve it than you guys did... you can do it graphicaly.

Because of the shape of the cone, the cylinder is held in such a way that when the height is 0, the radius is 2, and when the radius is 0 the height is 5. This gives you this:

Height: 0   Radius: 2
Height: 5   Radius: 0

You can then use those to plot a graph (the fist set of numbers being x1, y1 and the seccond set beign x2, y2)

The equation of that graph (using y=mx+c) is (with h on the y axis): h= -5/2 r +5

This is essentialy the same as the equation you find using your simmilar triangles method isn't it?

I may be completely wrong, so correct me if I am... but it seems to be a more simple way.
2011: 96.35
2012: http://www.thegapyear2012.com/
2013: Arts (Global) Monash
2016: Juris Doctor (somewhere)

Whatlol

  • Victorian
  • Forum Leader
  • ****
  • Posts: 928
  • Respect: +2
Re: cone... correct me if i'm wrong.
« Reply #1 on: November 10, 2010, 10:50:08 pm »
0
let us rest in peace )=

p.s seems to work
failed uni

chrisjb

  • Victorian
  • Part of the furniture
  • *****
  • Posts: 1047
  • ROAR
  • Respect: +64
Re: cone... correct me if i'm wrong.
« Reply #2 on: November 10, 2010, 10:51:52 pm »
0
hehe... sorry, I figgured all your wounds would have healed by now :P
2011: 96.35
2012: http://www.thegapyear2012.com/
2013: Arts (Global) Monash
2016: Juris Doctor (somewhere)

Whatlol

  • Victorian
  • Forum Leader
  • ****
  • Posts: 928
  • Respect: +2
Re: cone... correct me if i'm wrong.
« Reply #3 on: November 10, 2010, 10:52:28 pm »
0
hehe... sorry, I figgured all your wounds would have healed by now :P

hehe they are still raw )=
failed uni

ninbam1k

  • Victorian
  • Trendsetter
  • **
  • Posts: 109
  • Respect: +1
Re: cone... correct me if i'm wrong.
« Reply #4 on: November 11, 2010, 12:19:13 am »
0
LOL i like your location Whatlol

schnappy

  • Victorian
  • Forum Leader
  • ****
  • Posts: 569
  • Respect: +7
Re: cone... correct me if i'm wrong.
« Reply #5 on: November 11, 2010, 12:59:14 am »
0
Congrats, you've done similar triangles from first principles...

carolynt

  • Victorian
  • Forum Obsessive
  • ***
  • Posts: 212
  • Respect: +1
Re: cone... correct me if i'm wrong.
« Reply #6 on: November 13, 2010, 05:01:22 pm »
0
let us rest in peace )=

p.s seems to work

Awwwww :/
Au revoir VCE!

http://vce.atarnotes.com/forum/index.php?topic=33811.msg352359#msg352359
VCE tuition for Maths/Science/UMAT

http://vce.atarnotes.com/forum/index.php/topic,34075.0.html
Selling: To clean out my 20kg VCE Vault of Awesome

TrueTears

  • TT
  • Honorary Moderator
  • Great Wonder of ATAR Notes
  • *******
  • Posts: 16363
  • Respect: +667
Re: cone... correct me if i'm wrong.
« Reply #7 on: November 13, 2010, 06:52:08 pm »
0
Hello Maths Methods CAS,

I'm not doing methods, but I had a look at your 'cone of death' just before and it seem to me that there was a much more simple way to solve it than you guys did... you can do it graphicaly.

Because of the shape of the cone, the cylinder is held in such a way that when the height is 0, the radius is 2, and when the radius is 0 the height is 5. This gives you this:

Height: 0   Radius: 2
Height: 5   Radius: 0

You can then use those to plot a graph (the fist set of numbers being x1, y1 and the seccond set beign x2, y2)

The equation of that graph (using y=mx+c) is (with h on the y axis): h= -5/2 r +5

This is essentialy the same as the equation you find using your simmilar triangles method isn't it?

I may be completely wrong, so correct me if I am... but it seems to be a more simple way.
Yup exactly what schnappy said, "similar triangles" is just basically algebra in disguise :P
PhD @ MIT (Economics).

Interested in asset pricing, econometrics, and social choice theory.

carolynt

  • Victorian
  • Forum Obsessive
  • ***
  • Posts: 212
  • Respect: +1
Re: cone... correct me if i'm wrong.
« Reply #8 on: November 13, 2010, 07:13:54 pm »
0
Yep, did that.
Au revoir VCE!

http://vce.atarnotes.com/forum/index.php?topic=33811.msg352359#msg352359
VCE tuition for Maths/Science/UMAT

http://vce.atarnotes.com/forum/index.php/topic,34075.0.html
Selling: To clean out my 20kg VCE Vault of Awesome