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Circle: If the knife is perpendicular to the axis of the cone.
Ellipse: If the knife is between (perpendicular to the axis of the cone) and (parallel to the side of the cone).
Parabola: If the knife is between (parallel to the side of the cone) and (parallel to the axis of the cone).
Hyperbola: If the knife is parallel to the axis of the cone.
Triangle: If the knife is perpendicular to the base of the cone.
Point: If the knife is parallel to the base the cone and through the apex
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What is the parallel cross section of a cone?
The answer depends on the angle at which the axis of the cone intersects the cross-sections.
What 3 solids have a circle as a horizontal cross section?
cone
What is the tilted away cross section of a cone?
Depends on the way you cut the cone, but the outline is either an ellipse or a parabola.
What three dimensional figure has a cross section of a triangle and the view from below is a circle?
cone
Would the horizontal cross section of a cone be congruent to its base?
No because it would be smaller.
What is the vertical cross section of a cone?
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.
What is the cross section of the cone?
Circle
What is the parallel cross section of a cone?
The answer depends on the angle at which the axis of the cone intersects the cross-sections.
What is the horrizontal cross section of a cone?
If it a right cone then it is a circle, otherwise an ellipse.
What is the shape of the base cross section of a cone?
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What is the horizontal cross section of a cone?
Circle
What does cone cylinder and a sphere have in common?
A circular cross-section.
What shape is cross section of a cone?
It depends on the angular plane of the Cross-section, to the conic axis. The conic-axis is a line from the point of the cone to the centre of a circular cross-section. #1 ; Cross section perpendicular to the acix is a CIRCLE. #2 ; Cross section angled to ther sides of the cone is an ELLIPSE #3 ; Cross section were the ends do not touch the circular face is a PARABOLA #4 ' Cross sectional plane which is parallel to the axis is a HYPERBOLA. The Cartesian Equations for each type are ;- #1 ; Circle ' x^(2) + y^(2) = 1 #2 ; Ellipse ' x^(2)/a^(2) + y^(2)/b^(2) = 1 #3 ; Parabola ' y^(2) = 4ax #4 ; Hyperbola ' x^(2)/a^(2) - y^(2)/b^(2) = 1
What 3 solids have a circle as a horizontal cross section?
cone
What does a cone prism look like?
By definition, the circular cross-section of a cone changes linearly in width as you go along its axis. By definition, the cross-section of a prism is constant along its axis. So, by definition, a cone prism is an impossible shape.
What is the tilted away cross section of a cone?
Depends on the way you cut the cone, but the outline is either an ellipse or a parabola.
What is vertical cross section of a cone?
For a right cone, it is a hyperbola which becomes and isosceles triangle when the section passes through the apex.
