Results 1 to 7 of 7
Like Tree1Thanks
  • 1 Post By ILikeSerena

Math Help - a 300 foot long cable,

  1. #1
    Member sluggerbroth's Avatar
    Joined
    Apr 2012
    From
    Chicago
    Posts
    107

    a 300 foot long cable,

    a 300 foot long cable, originally of diameter 5 inches, is submerged in seawater. Because of corrosion the surface area of the cable diminshes at the rate of 1250 inches^2 per year. Express dimaterew of cable d as a function of time t in years.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member ILikeSerena's Avatar
    Joined
    Dec 2011
    Posts
    733
    Thanks
    121

    Re: a 300 foot long cable,

    Quote Originally Posted by sluggerbroth View Post
    a 300 foot long cable, originally of diameter 5 inches, is submerged in seawater. Because of corrosion the surface area of the cable diminshes at the rate of 1250 inches^2 per year. Express dimaterew of cable d as a function of time t in years.
    Hi sluggerbroth!

    Do you have a formula that relates the surface of the cable to the diameter?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member sluggerbroth's Avatar
    Joined
    Apr 2012
    From
    Chicago
    Posts
    107

    Re: a 300 foot long cable,

    no but i thought one might exist? can you help?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Super Member ILikeSerena's Avatar
    Joined
    Dec 2011
    Posts
    733
    Thanks
    121

    Re: a 300 foot long cable,

    What do you already know and what did you try?

    To be honest, I don't like to simply give the answer.
    And that is also against forum policy.
    Thanks from skeeter
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Member sluggerbroth's Avatar
    Joined
    Apr 2012
    From
    Chicago
    Posts
    107

    Re: a 300 foot long cable,

    this is a pre calc problem i found in schaums pre calculus in a chapter on inverse functions
    Follow Math Help Forum on Facebook and Google+

  6. #6
    Super Member ILikeSerena's Avatar
    Joined
    Dec 2011
    Posts
    733
    Thanks
    121

    Re: a 300 foot long cable,

    Allright, so you need to set up a formula that calculates the surface as a function of the diameter.
    And then you have to invert that function.
    Follow Math Help Forum on Facebook and Google+

  7. #7
    MHF Contributor

    Joined
    Apr 2005
    Posts
    14,992
    Thanks
    1129

    Re: a 300 foot long cable,

    The circumference of a circle of radius r is 2\pi r (I'll bet you knew that). So what is the surface area of a cylinder of radius r and length h?
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Perimeter Optimization, Integer Foot
    Posted in the Calculus Forum
    Replies: 0
    Last Post: April 22nd 2012, 05:19 PM
  2. Taper Per Foot.
    Posted in the Trigonometry Forum
    Replies: 1
    Last Post: February 22nd 2010, 07:15 AM
  3. how long is this cable? arc length question
    Posted in the Calculus Forum
    Replies: 2
    Last Post: November 12th 2009, 05:38 PM
  4. from pounds per foot to kgs
    Posted in the Algebra Forum
    Replies: 1
    Last Post: May 26th 2009, 03:26 AM
  5. the quare foot of 124
    Posted in the Algebra Forum
    Replies: 2
    Last Post: April 6th 2008, 11:22 AM

Search Tags


/mathhelpforum @mathhelpforum