Results 1 to 2 of 2

Math Help - Optimzation problem, cylinder in sphere

  1. #1
    Member
    Joined
    Dec 2009
    Posts
    103

    Optimzation problem, cylinder in sphere

    A right circular cylinder is inscribed in a sphere of radius r. Find the largest possible volume of such a cylinder.
    I don't even know where to begin to find the relationship of height to radius of the sphere....
    Follow Math Help Forum on Facebook and Google+

  2. #2
    is up to his old tricks again! Jhevon's Avatar
    Joined
    Feb 2007
    From
    New York, USA
    Posts
    11,663
    Thanks
    3
    Quote Originally Posted by dorkymichelle View Post
    A right circular cylinder is inscribed in a sphere of radius r. Find the largest possible volume of such a cylinder.
    I don't even know where to begin to find the relationship of height to radius of the sphere....
    Think of the problem in 2D. Center a circle on the Cartesian axes. draw a rectangle in it, also centered. with the edges touching the circle. think of this as viewing the cylinder in the sphere from sideways. now, do you knwo what you want to maximize?
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. cylinder in a sphere
    Posted in the Calculus Forum
    Replies: 1
    Last Post: October 14th 2010, 12:16 PM
  2. cylinder in a sphere
    Posted in the Geometry Forum
    Replies: 2
    Last Post: June 23rd 2009, 12:19 AM
  3. Cylinder in a Sphere
    Posted in the Geometry Forum
    Replies: 5
    Last Post: May 10th 2008, 04:16 PM
  4. Cylinder/Sphere
    Posted in the Calculus Forum
    Replies: 1
    Last Post: May 6th 2007, 08:01 PM
  5. cylinder sphere problem
    Posted in the Geometry Forum
    Replies: 4
    Last Post: August 4th 2005, 11:05 PM

Search Tags


/mathhelpforum @mathhelpforum