Circle
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.
When a cone is sliced by a slanted plane, the cross section formed is typically an ellipse. The exact shape can vary depending on the angle and position of the plane relative to the cone. If the plane is parallel to the cone's base, the cross section will be a circle; if it intersects the cone at a steeper angle, the resulting shape will be an ellipse.
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