Question

Name all possible cross sections of a cylinder.

Answer 1

Hint: Try to cut the cylinder with different planes.

Step 1: The cross section of the cylinder may be either circle, rectangle, or ellipse depending on how it has been cut.

Step 2: If we cut the cylinder with a plane parallel to its base then the shape obtained is a circle.

Step 3: If the plane cut the cylinder perpendicular to the base, then the shape obtained is a rectangle.

Step 4: If a plane passes through the cylinder diagonally, the shape is ellipse.

Final Answer: Hence, We can conclude that all the possible cross-sections of a cylinder are circle, rectangle and ellipse. It depends on how it has been cut.