Maths · Sections of conics, equations of conic sections (parabola, ellipse and hyperbola) in standard forms

What is the vertical cross-section of a solid cylindrical pipe shown in the figu

What is the vertical cross-section of a solid cylindrical pipe shown in the figure?

  • A. An ellipse
  • B. A circle
  • C. A cylinder
  • D. A rectangle

Step-by-step solution

A vertical cross-section of a solid cylindrical pipe, taken parallel to its axis (i.e., a plane containing the axis), yields a rectangular cross-section. This is because the intersection of a vertical plane with a right circular cylinder produces a rectangle. The other options are incorrect: an ellipse results from an oblique cut, a circle from a horizontal cut, and a cylinder is a 3D object, not a cross-section.
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