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The cross sections of a sphere can be circular or elliptical, depending on how the plane intersects the sphere. When a plane cuts through the center of the sphere, the cross section is a circle with the same radius as the sphere. If the plane intersects the sphere at an angle or does not pass through the center, the cross section will still be a circle, but its radius will be smaller than that of the sphere. Additionally, if the plane is tangent to the sphere, the cross section reduces to a single point.
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What are all possible cross sections of a sphere?
The cross sections of a sphere can vary depending on the plane intersecting it. The most common cross sections include circles of varying diameters, which can range from a point (when the plane touches the sphere at a single point) to a maximum circle (when the plane passes through the center of the sphere). Other possible cross sections include ellipses if the plane is inclined but does not pass through the center, and in some cases, a line segment or point depending on the angle and position of the intersecting plane.
What shape has any cross- sections are circles?
any cross section of a sphere is a circle.
If you cut a sphere with a vertical angled and horizontal slide what are the cross sections?
When a sphere is cut with a vertical angled plane, the cross-section will be an ellipse. If the sphere is then cut by a horizontal plane, the cross-section will be a circle. Thus, the combination of these two cuts results in an elliptical cross-section from the angled cut and circular cross-sections from the horizontal cuts at various heights.
What solid figure is a set of your parallel cross sections are circles that are similar but not congruent?
A sphere is.
Is a circle 3-dimensional?
No. A circle is 2-dimensional. A sphere, however, is a 3-dimensional object with circular cross-sections.
When a sphere is cut into cross sections what is the shaped formed?
When a sphere is cut into cross sections, the shape formed is a circle. This is because all cross sections of a sphere will be circular in shape, regardless of the angle or position of the cut.
What are all possible cross sections of a sphere?
The cross sections of a sphere can vary depending on the plane intersecting it. The most common cross sections include circles of varying diameters, which can range from a point (when the plane touches the sphere at a single point) to a maximum circle (when the plane passes through the center of the sphere). Other possible cross sections include ellipses if the plane is inclined but does not pass through the center, and in some cases, a line segment or point depending on the angle and position of the intersecting plane.
What shape has any cross- sections are circles?
any cross section of a sphere is a circle.
If you cut a sphere with a vertical angled and horizontal slide what are the cross sections?
When a sphere is cut with a vertical angled plane, the cross-section will be an ellipse. If the sphere is then cut by a horizontal plane, the cross-section will be a circle. Thus, the combination of these two cuts results in an elliptical cross-section from the angled cut and circular cross-sections from the horizontal cuts at various heights.
What solid figure is a set of your parallel cross sections are circles that are similar but not congruent?
A sphere is.
What is the outline of a cross section of earth called?
A circle. (or approximately a circle if you look closely the mountains and valleys that the cross section cuts through disturb the circle). a mathematical sphere will give a mathematical circle at all cross sections.
Is a circle 3-dimensional?
No. A circle is 2-dimensional. A sphere, however, is a 3-dimensional object with circular cross-sections.
What describes all cross sections of a square pyramid where the intersecting plane is parallel to the base?
All cross sections of a square pyramid that are parallel to the base are squares
What is the outline of a cross section of earth?
Any way you slice the earth, you get a chunk whose outline is a circle. (or approximately a circle if you look closely the mountains and valleys that the cross section cuts through disturb the circle). a mathematical sphere will give a mathematical circle at all cross sections.
What degree in cross section of a sphere?
Every cross-section of a sphere is a circle.
What are the vertical and horizontal cross sections of a rectangular pyramid?
The vertical cross sections are trapezia or triangles. The horizontal cross sections are rectangles which are mathematically similar to the base.
The shapes of the horizontal cross-sections of the cone below are not all congruent.?
True
