One Letter-sized sheet is rolled into a cylinder along its long side (tall cylinder), while another - along its short side (short cylinder).
Which of these two cylinders has the bigger volume - the tall one or the short one?
Explanations
All calculations are shown in the diagram.
Since the volume V of a cylinder is the multiplication of its round base area A on its height H, the short cylinder off-sets its “shortness“ in height H2 by significantly bigger area of the round base A2, resulting in bigger volume V2.