Find the altitude of a right circular cy...

Find the altitude of a right circular cylinder of maximum volume inscribed in a sphere of radius r.

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Show that the height of the cylinder of maximum volume that can be inscribed in a sphere of radius R is (2R)/(sqrt(3)) . Find the volume of the largest cylinder inscribed in a sphere of radius R.

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Show that the height of a closed right circular cylinder of given surface and maximum volume is equal to diameter of base.

Show that the radius of the right cicular cylinder of greatest curved surface that can be inscribed in a given cone is half the redius of the base of the cone.

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