Cylinder (geometry): Quiz

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More interesting facts on Cylinder (geometry)

Question 1: An elliptic cylinder, or cylindroid, is a quadric surface, with the following equation in ________:
Spherical coordinate systemParabolic coordinatesCylindrical coordinate systemCartesian coordinate system

Question 2: A cylinder is one of the most basic curvilinear geometric shapes, the ________ formed by the points at a fixed distance from a given straight line, the axis of the cylinder.
SurfaceTopological manifoldSphereRiemann surface

Question 3: This is useful in the definition of ________, which require considering the cylindrical conics.
EllipseConic sectionParabolaHyperbola

Question 4: In ________, a cylinder is simply a cone whose apex is at infinity.
Projective spaceProjective geometryAlgebraic geometryConic section

Question 5: In ________, a cylinder is defined more broadly as any ruled surface spanned by a one-parameter family of parallel lines.
Differentiable manifoldDifferential geometryCalculusDifferential topology

Question 6: A cylinder whose cross section is an ________, parabola, or hyperbola is called an elliptic cylinder, parabolic cylinder, or hyperbolic cylinder.
Elliptic orbitEllipseConic sectionOrbit