Difference between revisions of "2021 WSMO Speed Round Problems/Problem 2"
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Revision as of 10:04, 23 December 2021
Problem
A square with side length of units is rotated around one of its sides by . If the volume the square sweeps out can be expressed as , find .
Solution
When a square is rotated about one of its sides, then it forms a cylinder. Thus, the answer is Thus, the answer is