Results 1 to 3 of 3

Math Help - Calculating radius as a function of volume and as a function of time

  1. #1
    Junior Member surffan's Avatar
    Joined
    Jan 2010
    Posts
    43

    Calculating radius as a function of volume and as a function of time

    A gas tank on a dock has a small puncture and is leaking gas at a rate of 1 cm^3/min into a lake. it forms a circular slick that is 1mm thick on the surface of the water.
    a) find the amount of gas leaked as a function of time.
    b) State the radius of the slick as a function of its volume.
    c) State the radius of the slick as a function of time.
    d) what is the radius of the slick after 40 minutes?

    I'm having trouble figuring out how to approach this question,even if someone can give me a guideline or help me with part of it i'm sure i could figure out the rest based on that. Thank you
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    11,865
    Thanks
    640
    Quote Originally Posted by surffan View Post
    A gas tank on a dock has a small puncture and is leaking gas at a rate of 1 cm^3/min into a lake. it forms a circular slick that is 1mm thick on the surface of the water.
    a) find the amount of gas leaked as a function of time.
    b) State the radius of the slick as a function of its volume.
    c) State the radius of the slick as a function of time.
    d) what is the radius of the slick after 40 minutes?

    I'm having trouble figuring out how to approach this question,even if someone can give me a guideline or help me with part of it i'm sure i could figure out the rest based on that. Thank you
    (a) volume of gas in cm^3 = (leak rate in cm^3/min)(time in minutes)

    (b) the slick forms a cylindrical shape where h is the thickness ...

    V = \pi r^2 h , solve for r

    (c) work it out using what you found in (a) and (b)

    (d) use your time function
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member surffan's Avatar
    Joined
    Jan 2010
    Posts
    43
    Thank you so much! I really appreciate it
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 3
    Last Post: March 7th 2012, 04:07 PM
  2. Replies: 3
    Last Post: December 1st 2011, 04:57 AM
  3. [SOLVED] Radius of convergence of an analytic function
    Posted in the Differential Geometry Forum
    Replies: 4
    Last Post: June 7th 2011, 02:47 PM
  4. Replies: 9
    Last Post: July 10th 2010, 03:58 AM
  5. Function of time
    Posted in the Calculus Forum
    Replies: 0
    Last Post: September 7th 2009, 07:41 PM

Search Tags


/mathhelpforum @mathhelpforum