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When sliced by a horizontal plane at any height the hemisphere and vase have equal cross sectional areas.
Cross section of 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. All cross sections of a sphere are circles. We know that of all the shapes a sphere has the smallest surface area for its volume.
It is like a view into the inside of something made by cutting through it. The radius of the cross section can be greater than less than or equal to the radius of the sphere. The blue curve on the sphere illustrates the cross section z 0 on the unit sphere x 2 y 2 z 2 0.
The intersection of a plane figure with a sphere is a circle. Similarly the vase s cross section is a radius circle with a radius circle cut out so its area is as claimed. A cross section is the shape we get when cutting straight through an object.
For example the rutherford cross section is a measure of probability that an alpha particle will be deflected by a given angle during a collision with an atomic nucleus cross section is typically denoted σ and is expressed in terms of the transverse area that the. The cross section of this object is a triangle. Indeed the slice usually called cross section of the sphere is a circle of radius which has area.
Cross sections solved problem. The radius of the cross section can only be equal to the radius of the sphere. A cross section of a sphere is just a circle so you would use the equation a pi r 2 where r is the radius of the circle created by the cross section.
In physics the cross section is a measure of probability that a specific process will take place in a collision of two particles. The radius of the cross section can only be less than the radius of the sphere. Cross sections of sphere.
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