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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 else can I help you with?
What is the shape of the base cross section of a cone?
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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 does cone cylinder and a sphere have in common?
A circular cross-section.
What is the shape of a horizontal cross section of a cone?
A cross-section refers to the end of a prism, cones are not prisms. A shape like a cylinder is a prism. Hexagonal prisms have hexagonal cross-sections, and pentagonal prisms have pentagonal cross-sections. It's that simple.But for the sake of what the question COULD mean, I'll try and help.The easiest way to find the shape of a part of a three-dimensional object is to tear it apart (literally) and look at its net. The curved surface area of the cone looks like a rectangle when the cone is split open.Here are some formulas for the fun of things:Volume of cone = 1/3πr2hSurface area of cone =πrs +πr2π = Circumference (Perimeter of the circle) / Diameter (Length from one end of the circumference to the other end passing through the centre)r = Radius (Half the diameter)s = Side length (Up the side of the cone to the top)
A cross section of cylinder along its length has the shape of?
The cross section of cylinder along its length (parallel to the axis of symmetry has the shape of a rectangle.
What is the shape of the base cross section of a cone?
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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.
Why is a traffic cone a cone?
The strongest shape in nature is the triangle. A traffic cone has a cross section of a triangle. This would give it strength especially when knocked into by the traffic.
What is a cross section of a right circular cone?
A cross section of a right circular cone is a two-dimensional shape obtained by slicing the cone perpendicular to its axis. Depending on the position of the cut, the cross section can be a circle, an ellipse, or a triangle. If the cut is made parallel to the base, the cross section will be a smaller circle. If the cut is made vertically through the apex and perpendicular to the base, it will form a triangle.
What is the shape of the cross-section formed when a cone intersects a plane as shown in the drawing?
A. Circle just did it on apex!
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.
Given a cone with a radius of 2 feet and a height of 9 feet what shape is formed by a perpendicular cross section through the cone's center?
The cross section will be a triangle with base 2 feet and a vertical height of 9 feet.
What shape is a possible cross section of a cone?
A point, a straight line, a circle, an ellipse, a parabola and half a hyperbola.
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 horizontal cross section of a cone?
Circle
