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The

Statement

Although not using the exact dimensions of a sheet of paper, you can start working with measures invented. The important thing is to be understood if more influence on final size of the volume either.

The volume of a cylinder is area of \u200b\u200bbase height, and calculate the area of \u200b\u200bthe base you need to know the radio.

This radius is calculated from the length of the circumference, which is one of the two sides of the original sheet. Obviously, the length is we have to divide by 2π, and then to calculate the area, square it and multiply by π.

would be something like (a / (2π))

2 * π = a

2 / (4π). As the height is the other length, the resulting volume would be

2 b / (4π). Displaying

formula, it is clear that if we change a and b, what happens is that instead of multiplying two times once ay b, we multiply twice by one by a. Ie that the volume is higher, better than the base use the greatest possible length, ie the cylinder be fat rather than thin. The problem of falling down an inclined plane is more complex because it includes a physics problem. Both cylinders weigh the same, so the difference is because of friction is called rolling, that is, it depends on the radio. The larger the radius, the smaller the friction, so it will roll back more fat faster.

To make a prism, one of the lengths is divided into four equal parts, so will a square base whose length is a quarter of the total. The volume will be this quarter of the length to the square on the other length. Again, the formula will be (a / 4) 2

* B = a 2

B/16 and between the two, will be more volume the shortest and thickest. Comparing prisms cylinders with a square base, we should look both ways, to

2

B/16 and

2

b / (4π). In fact, the two are very similar, only in the cylinder divided by 4π and the prism 16. Since 4π is less than 16 (π is less than 4), it is clear that the volume of the cylinder will be slightly higher.