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Randomly stumped on a Clylindar problem any thoughts?? Reply to this Post
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For b) i came up with:

4x +L =130; and V=x^2L



But how can i combine them and solve??A long tube has circular ends (a cylinder). According to postal regulations, the sum of the
circumference of the tube and its length cannot exceed 130 inches.)
(a) Determine the maximum volume of a tube that satisfy es the postal regulations.
(b) Compare the volume of the tube to the maximum volume of a long
box with square ends that also satisfy es the postal regulations.

I cant seem to figure out the right formula and equation even though Ive been staring at it for about a hour now??? any help??
[Mar 9, 2010 2:43:59 PM] Show Post Printable Version     [Link] Report threaten post: please login first  Go to top 
Female pskinner

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Re: Randomly stumped on a Clylindar problem any thoughts?? Reply to this Post
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For b) i came up with:

4x +L =130; and V=x^2L



But how can i combine them and solve??A long tube has circular ends (a cylinder). According to postal regulations, the sum of the
circumference of the tube and its length cannot exceed 130 inches.)
(a) Determine the maximum volume of a tube that satisfy es the postal regulations.
(b) Compare the volume of the tube to the maximum volume of a long
box with square ends that also satisfy es the postal regulations.

I cant seem to figure out the right formula and equation even though Ive been staring at it for about a hour now??? any help??



For (a), use V=pi*r^2*h with the restriction 2*pi*r+h<=130.

For (b) use V=x^2*y, but it is unclear what the restrictions are from your statement.
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