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A cut through a right circular cylinder that is perpendicular to its altitude yields a circular cross-section.
A right circular cylinder that is cut on a plane not perpendicular to its altitude but also but also not parallel to its altitude will yield an ellipse whose minor axis is the diameter of the cylinder.
Trivial cases of a set of parallel lines, a single line, or the empty set occur when the cut is parallel to the altitude, externally tangent to the cylinder, or does not intersect the cylinder, respectively.
What else can I help you with?
How many parallel lines in a cylinder 2?
A cylinder includes an infinite number of parallel lines. Every line in the curved surface is parallel to every other one and perpendicular to the two ends. . "A cylinder 2" is meaningless. You would have to look at the homework you're trying to get the answer for to see what cylinder 2 means.
How can you tell if a graph is a function?
The vertical line test can be used to determine if a graph is a function. If two points in a graph are connected with the help of a vertical line, it is not a function. If it cannot be connected, it is a function.
What is the formula for finding the area of base of a cylinder?
The circumference of a regular cylinder is the circumference of its circular face. C = pi * D (diameter of the cylinder) C = pi * 2r (or C = 2(pi)r)
The height of a cylinder is 10 inches and the volume is 146 cubic inches - what is the radius of this cylinder?
Using the formula for the volume of a cylinder (V = πr^2h), and substituting the given values, we can find the radius. Rearranging the formula to solve for the radius gives us r = √(V / (πh)). Plugging in the values, we get the radius as √(146 / (10π)) ≈ 2.15 inches.
How do vertical transformations differ from horizontal transformations?
In vertical transformations every point on a graph is shifted upwards by a fixed number of points. In a horizontal transformation, every point on a graph is shifted along the x-axis a certain number of points.
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.
Which Solid congruent horizontal and vertical cross section?
A solid that has congruent horizontal and vertical cross sections is a cylinder. In a cylinder, both the horizontal cross sections (circles) and vertical cross sections (rectangles) maintain consistent dimensions throughout the solid. This property ensures that the shapes formed by slicing the cylinder in any horizontal or vertical plane are always congruent to each other. Other examples include cubes and spheres, but the cylinder specifically illustrates this characteristic well.
What is right section of a cylinder?
The right section of a cylinder refers to a vertical cross-section that is perpendicular to the axis of the cylinder. This section reveals a circular shape, which represents the base of the cylinder. The dimensions of this section are determined by the radius of the cylinder and, when viewed from the side, it can also show the height of the cylinder. Essentially, it provides a two-dimensional representation of the three-dimensional object.
What is the shape of a transverse cross section of a cylinder?
The shape of a transverse cross section of a cylinder is a circle.
What is the difference between a cylinder and a cuboid?
A cylinder has a circular cross-section whereas a cuboid has a quadrilateral cross-section.
What is a cylinder as 2d shape?
You cannot have a 2d cylinder. The 2d cross section will depend on the plane of the cross section.
What has a circular cross section when the cross section is taken parallel?
A cylinder has a circular cross section that is parallel to its base.
What is the difference between a cylinder and a rectangular prism?
A cylinder has a circular cross section, a rectangular prism has a rectangular cross section.
How is a rectangular prism and a cylinder different?
A rectangular prism has a rectangular cross section whereas a cylinder has a circular cross section
What is the difference between a cylinder and an a square prism?
A cylinder has a circular cross section, a square prism has a square cross section.
What is the 2d parallel shape that's a cross section of a cylinder?
The 2D parallel shape that represents a cross section of a cylinder is a circle. When a cylinder is sliced parallel to its base, each cross section reveals a circular shape, regardless of where the cut is made along the height of the cylinder. This circular cross section maintains the same diameter as the bases of the cylinder.
What is the cross section of a hollow cylinder?
A circle, ellipse, truncated ellipse or rectangle - depending on the inclination of the cross section relative to the cylinder.
