Results 1 to 2 of 2

Math Help - Volume and Surface Area

  1. #1
    Junior Member
    Joined
    Nov 2008
    Posts
    68

    Volume and Surface Area

    Find the maximum volume of a cylinder, with total surface area (including two ends) of 2pi
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    11,740
    Thanks
    480
    2\pi = 2\pi r h + 2\pi r^2

    solve for h in terms of r, then substitute for h in the volume formula ...

    V = \pi r^2 h

    finally, find \frac{dV}{dr} and maximize.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. [SOLVED] Volume and Surface Area
    Posted in the Calculus Forum
    Replies: 3
    Last Post: May 3rd 2011, 12:28 PM
  2. box volume/surface area
    Posted in the Geometry Forum
    Replies: 5
    Last Post: December 2nd 2010, 06:53 AM
  3. volume and surface area
    Posted in the Algebra Forum
    Replies: 12
    Last Post: June 24th 2009, 09:40 AM
  4. Surface Area and Volume
    Posted in the Calculus Forum
    Replies: 1
    Last Post: May 27th 2009, 12:52 AM
  5. Volume, Surface Area, and Lateral Surface Area
    Posted in the Geometry Forum
    Replies: 1
    Last Post: April 14th 2008, 11:40 PM

Search Tags


/mathhelpforum @mathhelpforum