SOLUTION: a cylinder has a base diameter smaller than its height. describe the cross section obtained when a plane intersects the cylinder perpendicular to its bases
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Question 774980: a cylinder has a base diameter smaller than its height. describe the cross section obtained when a plane intersects the cylinder perpendicular to its bases
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
There are a number of different possibilities since you did not specify a right cylinder. You didn't specify a circular (as opposed to an elliptical) cylinder either, but circular is implied by the fact that you specified a diameter. Assuming a right cylinder, the intersection will either be a rectangle that is taller than it is wide, or a straight line in the case where the intersection of the plane and the cylinder is tangent to the side of the cylinder. In the case of an oblique cylinder, it could be a rectangle, an ellipse, a half-ellipse, or a single point depending on whether the plane intersects both bases, neither base, one base, or is tangent to one of the bases.
John
Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
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