Question

If you roll an 8. 5-by-11-inch piece of paper into a cylinder by bringing the two longer sides together, you get a tall, thin cylinder. If you roll an 8. 5-by-11-inch piece of paper into a cylinder by bringing the two shorter sides together, you get a short, fat cylinder. Which of the two cylinders has the greater volume?

Answer 1

The cylinder which would have the greater volume is that in which the two shorter sides together, you get a short, fat cylinder.

Which cylinder has the greater volume between the two?

It follows from the task content that the cylinder is made from the same paper dimensions.

On this note, it follows that when the shorter sides are joined, the longer side represents the height of the cylinder formed.

Consequently, the shorter cylinder has the greater volume.

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