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When a sphere is cut with a vertical angled plane, the cross-section will be an ellipse. If the sphere is then cut by a horizontal plane, the cross-section will be a circle. Thus, the combination of these two cuts results in an elliptical cross-section from the angled cut and circular cross-sections from the horizontal cuts at various heights.
A circle.
For a right cone, it is a hyperbola which becomes and isosceles triangle when the section passes through the apex.
A rectangle.
The answer depends on the length AND the cross-section of the pipe. Just one of the two measures is not enough.