No. Some of the classic curves studied by mathematicians: ellipses, hyperbola are cross sections of a cone taken at an angle.
It is a rectangle which is similar to the base.
If it a right cone then it is a circle, otherwise an ellipse.
True
True
cone
No because it would be smaller.
No. Some of the classic curves studied by mathematicians: ellipses, hyperbola are cross sections of a cone taken at an angle.
The vertical cross section of a right vertical cone is a triangle if that cross section is taken from the vertex. Any other vertical cross section will reveal a hyperbola (with endpoints on the base of the cone). A link can be found below.
Circle
It is a rectangle which is similar to the base.
The answer depends on the angle at which the axis of the cone intersects the cross-sections.
It depends how the cone was standing relative to the horizontal plane of the cut:It will result in:a circle (if the cone is with its circular base in a horizontal plane)a parabola (if the cone is with its circular base is in a vertical plane)an ellipse (if the cone is tilted with its circular base somewhere between a horizontal plane and a vertical plane).
If it a right cone then it is a circle, otherwise an ellipse.
If the cylinder is standing on its flat face, the horizontal cross section is a circle. Otherwise, it is a line or a rectangle.
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false