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The Volume of Which Cylinder is Bigger?

Solution Step 0/0
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.
Check Tall cylinder
Check Short cylinder
Check Both equal
Check Depends on paper

Puzzle The Volume of Which Cylinder is Bigger?

Puzzle The Volume of Which Cylinder is Bigger?