What Is The Cross Section Of A Sphere
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In geometry a spherical cap or spherical dome is a portion of a sphere or of a ball cut off by a plane it is also a spherical segment of one base i e bounded by a single plane.
What is the cross section of a sphere. All circles are similar to one another if two planes are equidistant from the center of a sphere and intersecting the sphere the intersected circles are congruent. Cross sectional area of a sphere any theoretical plane placed through a sphere will result in a circle think about this for a few moments. If you know either the diameter or the circumference of the circle the cross section forms you can use the relationships c 2πr and a πr 2 to obtain a solution.
When the cross section is taken parallel to the base of a cylinder it is also a circle. The vertical cross section of a cylinder is a rectangle and the horizontal cross section is a circle. How is a sphere is different form an ellipse.
A cross section is the shape we get when cutting straight through an object. The cross section of this object is a triangle. The blue curve on the sphere illustrates the cross section z 0 on the unit sphere x 2 y 2 z 2 0.
The cross sections for different 3d shapes are given here. Any cross section of the sphere is a circle. The vertical cross section of a cone is a triangle and the horizontal cross section is a circle.
This cross section is a circle x 2 y 2 1. If the particles are hard inelastic spheres that interact only upon contact their scattering cross section is related to their geometric size. Before that we are going to learn two important terminologies such as.
It is like a view into the inside of something made by cutting through it. If the plane passes through the center of the sphere so that the height of the cap is equal to the radius of the sphere the spherical cap is called a hemisphere. The radius of the cross section can only be less than the radius of the sphere.
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