Which two dimensional shape can be rotated about the Y-axis to create a cone answer for Blank 1?
If a right triangle was rotated quickly about the y-axis, the resulting figure would be a cone.
What shape would you rotate around the axis to create a cone?
A cone can be made by rotating a triangle! The triangle is a right-angled triangle, and it gets rotated around one of its two short sides. The side it rotates around is the axis of the cone.
What two dimensional shape could be rotated about its line of symmetry to generate a cone?
SOLUTION: Rotating a right triangle around a line along one of its legs will create a right cone, where one leg is the radius and the other leg is the height of the cone.
What two dimensional shape can be rotated to create a cylinder?
A square rotated about the above line results in a right cylinder. A circle rotated about the above line results in a sphere.
Which of the following shapes could be formed by the intersection of a plane and a cube?
A square cross section can be created by slicing the cube by a plane parallel to one of its sides.
What three-dimensional shape is the result of a rectangle being rotated about one of its sides?
A cylinder is formed by rotating a rectangle about one of its side.
What flat 2d shapes make up a cone?
A cone has one flat circular face as its base and one curved surface that wraps around the circular face. Again, faces are technically flat and so the only face on a cone is the circle on its base. However, sometimes curved surfaces are included.
How is cone formed?
A cone is a shape formed by using a set of line segments or the lines which connects a common point, called the apex or vertex, to all the points of a circular base(which does not contain the apex). The distance from the vertex of the cone to the base is the height of the cone.
What type of object is generated when you rotate a 2 dimensional object about an axis?
A solid of revolution is a three-dimensional figure obtained by rotating a two-dimensional figure (or curve) around a straight line (called the axis) that lies in the same plane.
Is there any two-dimensional figure that you could spin to create a rectangular prism if what would it look like if not why?
“Is there any two-dimensional figure that you could spin to create a rectangular prism? If so, what would it look like? If not, why not?” (There is no such figure.
Can a square be formed by the intersection of a plane and a cube?
A square cross section can be created by slicing the cube by a plane parallel to one of its sides.
Which of the following figures can be formed by intersecting a plane and a cube I a Point II a triangle III a rectangle?
The intersection of a cube and a plane can be a triangle: but there's no way to produce a circle, since none of a cube's edges or faces is curved. The correct answer is (E).
What 3d shape is formed by rotating a rectangle around the Y axis?
If we look at the figure formed by rotating a rectangle around a line the three dimensional figure formed is a cylinder.
Which 2 D shape could be revolved about the vertical line to create the 3 d vase shown at the right?
Which 2-D shape could be revolved about the vertical line to create the 3-D vase shown at the right? Assume the vase is open at the top and closed at the bottom. 5. A 3-D solid is formed by rotating the rectangle shown at the right about the vertical line.
What shape do you need to make a cone?
If the common disc method isn't to your liking, you can make a cone shape starting out with a paper triangle. In order for it to be rolled properly into a cone, there must be one long side, and two shorter sides of equal length. The bigger the triangle, the bigger your cone will be.
What shapes is a cone made of?
A cone is a 3D shape consisting of a circular base and once continuous curved surface tapering to a point (the apex) above the centre of the circular base.
What shape makes a cone?
A cone has a circular base attached to a curved face that wraps around and narrows into a point. From the side, a cone looks like a triangle. Objects that are shaped like cones include party hats and funnels.
What are the dimensions of a cone?
Circular Cone Formulas in terms of radius r and height h: V = (1/3)πr2h.
How do you rotate around the Y axis?
0:4710:01Volume of rotation: disk method about the y-axis or x= (KristaKingMath)YouTube
What 3D shape is formed by rotating a rectangle around the Y axis?
If we look at the figure formed by rotating a rectangle around a line the three dimensional figure formed is a cylinder.
What shapes can be formed by the intersection of a plane and a cube?
A square cross section can be created by slicing the cube by a plane parallel to one of its sides.
What shapes can be formed from a cross section of a cube?
When a plane intersects a cube there is a variety of shapes of the resulting cross section.
- a single point (a vertex of the cube)
- a line segment (an edge of the cube)
- a triangle (if three adjacent faces of the cube are intersected)
Which 2 D shape could be revolved about the vertical line to create the 3 D solid shown at the right?
Which 2-D shape could be revolved about the vertical line to create the 3-D vase shown at the right? Assume the vase is open at the top and closed at the bottom. 5. A 3-D solid is formed by rotating the rectangle shown at the right about the vertical line.
How do you rotate a circle in 3-D?
Comments (19)
- Let first the variable θ on (0,2π), and r=Distance(A,B) …
- Let the point: D=A + (0, 0, r)
- Let the point: C=A + r UnitPerpendicularVector(Plane(B, A, D]]
- Let the turning point: E= A + cos(θ) Vector(A, C) + sin(θ) Vector(A, D) …
- Circle(B, A – Vector(A, B),E)
- Animate θ, move point B.
What two shapes make up a cone?
A cone has a circular base attached to a curved face that wraps around and narrows into a point. From the side, a cone looks like a triangle. Objects that are shaped like cones include party hats and funnels.
What is the 2d shape of a cone?
0:042:10What is a Cone? | Don’t Memorise – YouTubeYouTube
What is the two dimensional shape in a cone?
A cone has one flat circular face as its base and one curved surface that wraps around the circular face. Again, faces are technically flat and so the only face on a cone is the circle on its base. However, sometimes curved surfaces are included. We can see the net of the cone below, showing its circular 2D face.
What is a cones axis?
The axis of a cone is the straight line (if any), passing through the apex, about which the base (and the whole cone) has a circular symmetry.
What is a 2d cone called?
0:192:10What is a Cone? | Don’t Memorise – YouTubeYouTube
Is the angle of rotation about y-axis?
ang — Rotation angle The rotation angle is positive if the rotation is in the counter-clockwise direction when viewed by an observer looking along the y-axis towards the origin. Angle units are in degrees.