What are all the shapes that are cross sections of a sphere?

Spheres are NOT polyhedra. The intersection of a plane with a sphere is a circle (or a point if tangent to sphere). All cross sections of a sphere are circles. (All circles are similar to one another.)

What shapes can form a cross section?

Possible cross sections are circles (cut parallel to the circular base), ellipses (cut at an angle, not parallel to the circular base and not intersecting the base of the cone), parabolas (cut parallel to the edge of the cone, not intersecting the vertex but intersecting the base), and hyperbolas (cut perpendicular to …

What is the cross sectional area of a sphere?

The cross section, of a sphere formed by a plane intersecting the sphere at an equator, is a circle of the same radius as that of the sphere itself (as may be seen from picture below). ≅380.134 square inches.

What is the one shape of cross section we could create by slicing the sphere?

What two-dimensional shape could be created by slicing the sphere in the given figure? So this figure is a sphere.

Can a cross section of a sphere be an oval?

ANSWER: Sample answer: If the plane cuts at an angle through the base the cross section includes a straight line along the base, so the cross section cannot be a circle or ellipse.

How do you find the area of a cross shape?

The area of the cross can be calculated as follows: Area(horizontal bar) + Area(vertical bar) – Area(intersection between the horizontal bar and the vertical bar).

Which could be the shape of the cylinder?

A cylinder has two flat ends in the shape of circles. These two faces are connected by a curved face that looks like a tube. If you make a flat net for a cylinder, it looks like a rectangle with a circle attached at each end.

What is the vertical cross section of a cylinder?

rectangle
The vertical cross-section of a cylinder is a rectangle, and the horizontal cross-section is a circle.

What is the area of cross section of a wire?

The cross-sectional area of the wire A is the area of a circle of radius r, or of diameter d = 2r: A=πr2=π(d2)2.

Why is a sphere called a cross section?

Here’s why: if we cut these two solids at any height (between 0 and ), the areas of the two slices match. Indeed, the slice—usually called cross section —of the sphere is a circle of radius , which has area . Similarly, the vase’s cross section is a radius circle with a radius circle cut out, so its area is , as claimed.

When does a plane cut a sphere into two equal parts?

When a plane cuts a sphere from any point on it, we get a circle. The size of the cross section may vary depending on the point of intersection of plane and sphere. If the plane passed through the center of sphere, then it divides the sphere into two equal parts (i.e. hemisphere).

What is the shape of a cylinder with a horizontal cross section?

If the cylinder has a horizontal cross-section, then the shape obtained is a circle. If the plane cuts the cylinder perpendicular to the base, then the shape obtained is a rectangle. The oval shape is obtained when the plane cuts the cylinder parallel to the base with slight variation in its angle Cross Sections of Sphere

How does the size of the cross section of a cone vary?

The size of the cross section may vary depending on the point of intersection of plane and sphere. If the plane passed through the center of sphere, then it divides the sphere into two equal parts (i.e. hemisphere). How does the cross section of cone looks like?