Results 1 to 9 of 9

Math Help - what is the Best diameter and height for a 1 litre tin of paint?

  1. #1
    Newbie
    Joined
    May 2011
    Posts
    4

    what is the Best diameter and height for a 1 litre tin of paint?

    Hi, my name is bryan.
    A problem was put to me to find out what is the best diameter and height of a 1 litre tin of paint
    and what is the efficient proportion of diameter to height?

    and does this proportion hold for a 5 litre or 10 litre tin of paint?

    Looking for help thankyou, bryan
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member abhishekkgp's Avatar
    Joined
    Jan 2011
    From
    India
    Posts
    495
    Thanks
    1
    Quote Originally Posted by brysarah View Post
    Hi, my name is bryan.
    A problem was put to me to find out what is the best diameter and height of a 1 litre tin of paint
    and what is the efficient proportion of diameter to height?

    and does this proportion hold for a 5 litre or 10 litre tin of paint?

    Looking for help thankyou, bryan
    "best" in what sense??
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    May 2011
    Posts
    4
    in the sence of what diameter and height would work the best for a 1 litre tin of paint i guess

    the question i have been set only said
    What is the best diameter and height for a tin that will contrain 1 litres of paint?
    what is this efficient proportion of diameter to heigh
    and does the proportion hold for a 5 litre or 10 litre tin of paint?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Senior Member abhishekkgp's Avatar
    Joined
    Jan 2011
    From
    India
    Posts
    495
    Thanks
    1
    Quote Originally Posted by brysarah View Post
    in the sence of what diameter and height would work the best for a 1 litre tin of paint i guess

    the question i have been set only said
    What is the best diameter and height for a tin that will contrain 1 litres of paint?
    what is this efficient proportion of diameter to heigh
    and does the proportion hold for a 5 litre or 10 litre tin of paint?
    what topic in math are you studying exactly? there are infinite solutions to this problem if you drop "best" thingy. and this does not seem to be a question of trigonometry either.
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Behold, the power of SARDINES!
    TheEmptySet's Avatar
    Joined
    Feb 2008
    From
    Yuma, AZ, USA
    Posts
    3,764
    Thanks
    78
    Quote Originally Posted by brysarah View Post
    in the sence of what diameter and height would work the best for a 1 litre tin of paint i guess

    the question i have been set only said
    What is the best diameter and height for a tin that will contrain 1 litres of paint?
    what is this efficient proportion of diameter to heigh
    and does the proportion hold for a 5 litre or 10 litre tin of paint?
    My guess is that you want to minimize the surface area. So we know that the volume is

    V=\pi r^2 h \quad S=2\pi r^2+2 \pi r h

    If you plug the first equation into the 2nd you get

     S =2\pi r^2+2\frac{V}{r}

    Can you minimize this expression?
    Follow Math Help Forum on Facebook and Google+

  6. #6
    Newbie
    Joined
    May 2011
    Posts
    4
    i am studying triganometry at this present time
    and this was a question my teacher put to me to solve
    i didnt understand it myself so i decided to try a math forum
    Follow Math Help Forum on Facebook and Google+

  7. #7
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by brysarah View Post
    i am studying triganometry at this present time
    and this was a question my teacher put to me to solve
    i didnt understand it myself so i decided to try a math forum
    You need to get clarification from your teacher then. In particular, the meaning of 'best'. Until this term has been defined, it is pointless asking other people for help.
    Follow Math Help Forum on Facebook and Google+

  8. #8
    Newbie
    Joined
    May 2011
    Posts
    4
    i think what it is meaning is
    you could have a huge container, that only carries 1 litre of paint or u could have a small container that carries 1 litre of paint
    meaning what is the best diameter and height to contain 1 litre of paint
    and what is the most efficient
    Follow Math Help Forum on Facebook and Google+

  9. #9
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by brysarah View Post
    i think what it is meaning is
    you could have a huge container, that only carries 1 litre of paint or u could have a small container that carries 1 litre of paint
    meaning what is the best diameter and height to contain 1 litre of paint
    and what is the most efficient
    Then post #5 has told you exactly what to do (answering the question asked in that post would help things). Which means this is NOT a trigonometry question. Which is why you were told to get clarification from your teacher.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 3
    Last Post: March 20th 2010, 04:18 PM
  2. Calculating milkprice per litre from variables
    Posted in the Calculus Forum
    Replies: 0
    Last Post: November 26th 2009, 05:46 PM
  3. Paint and Derivatives
    Posted in the Calculus Forum
    Replies: 2
    Last Post: October 13th 2009, 06:31 PM
  4. 4.5 Litre
    Posted in the Algebra Forum
    Replies: 1
    Last Post: April 30th 2009, 09:14 AM

Search Tags


/mathhelpforum @mathhelpforum