Why and how is this?


Question:first get two peaces of a.4 paper,roll one peace up to make a tube shape then selatape the two edges of the paper then blank one end..now get the other peace of a.4 paper fold it three times to make a box tub shape then selatape the two edges then blank one end...now fill with,sugar,or rice crispies,or something simalar not liquid unless water tight..the answer i need is why one holds more than the other.

Answers:
The question I think you are asking is "Which has the greater volume, a circular tube or a square tube where the circumference equals the perimeter (and the heights are the same)?"

Volume is found by Cross Section Area times Height
Since the two pieces of paper are the same the height of the tubes will be the same, so lets look at the Cross Section Area. Which ever shape has the biggest Cross Section Area, will have the greatest volume.

Let's say the side of the paper has a length of (11in.)
Folding it into a square shape will make each side 11/4
The area of a square is (11/4)*(11/4) [length x width]
This makes the Cross Section Area of the square=7.563 in^2

The area of a circle is found by pi*radius^2
The circumference of the circle is 11 (the length of the paper)
Use the formula Circum.=pi*(2*radius)
So 11=pi*(2*radius)
radius=11/(2*pi)
radius=1.75 in
So Area is pi*1.75^2
This makes the Cross Section Area of the circle=9.629 in^2

The volume of the circular tube would be larger. Bending corners makes them less efficient.


what drugs have you taken tonight? your spouting sh1t.
Simply because of surface area i guess.
dilligaf
Nope they must hold the same it's fact. Your mind is telling you it's different but it's not they must hold the same. It's area law!!!
It's all to do with time and relative dimentions in space. Now where did i leave that damn tardis?
G6155 Interceptor. That's one hell of an answer ( its still doing me head in) why do I feel that it may be wasted on tugboat. Perhaps the "peace"paper he uses has more capacity than my piece of paper.
huh

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