Math CentralQuandaries & Queries


Question from kalyani, a student:

the curved surface of a cylinder is a square of diagonal 2*square root of 2. What is the area of the base of the cylinder?

Hi Kalyani,

Suppose the length of the side of the square is $S$ units.


What is $S?$ Maybe Pythagoras can help.

When the square is rolled up to form a circular cylinder the bade is a disk with circumference $S$ units. What is its radius? What is its area?


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