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What is difference between solid sphere and hollow sphere?

What is difference between solid sphere and hollow sphere?

Solid sphere is 2/5 mr^2 and that of a hollow sphere it is 2/3mr^2. So hollow sphere spins faster. And also the mass is more distributed in a hollow sphere making it easier to spin whereas in a solid sphere it is compact and there is too much mass.

What is a hollow sphere?

A hollow sphere is a ball that has been hollowed such the an equal thickness wall creates anopther internal ball within the external ball.

What is topologically equivalent to a sphere?

Topology is the mathematical study of the properties that are preserved through deformations, twistings, and stretchings of objects. Tearing, however, is not allowed. A circle is topologically equivalent to an ellipse (into which it can be deformed by stretching) and a sphere is equivalent to an ellipsoid.

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Does a hollow sphere have 1 holes?

In layman’s terms, it’s the number of “holes” an object has (“holes” interpreted in the sense of doughnut holes; a hollow sphere would be considered as having zero holes in this sense). A doughnut, or torus, has 1 such hole, while a sphere has 0.

What is difference between sphere and solid sphere?

But don’t worry, we’ll make up for it today, it’s quite simple. What is the difference between a sphere and a ball?…Comparison table.

Sphere Ball
Solid limited to its outer surface Solid sphere, filled with something.
A sphere has a perimeter and a surface only A ball has also a volume

Is a ball a solid sphere?

The ball that reaches the bottom first is the solid sphere. Because the balls have equal size and mass, the only difference between them is the moment of inertia, , which is the rotational analogue to mass.

What shape is a hollow ball?

A sphere (from Greek σφαῖρα—sphaira, “globe, ball”) is a geometrical object in three-dimensional space that is the surface of a ball. Like a circle in a two-dimensional space, a sphere is defined mathematically as the set of points that are all at the same distance r from a given point in a three-dimensional space.

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Is a cylinder topologically equivalent to a sphere?

It is intuitively evident that all simple closed curves in the plane and all polygons are topologically equivalent to a circle; similarly, all closed cylinders, cones, convex polyhedra, and other simple closed surfaces are equivalent to a sphere.

Is a sphere topologically equal to a plane?

topologically equivalent to the plane. transformed into the plane without tearing it. This is because the surface of the sphere closes around into itself in all directions, i.e., that it completely encloses a volume. But that is a characterization that depends on the two spheres embed ding in three dimensional space.

Does a straw have one or 2 holes?

So, according to Riemann, because a straw can be cut only once — from end to end — it has exactly one hole. If the surface does not have a boundary, like a torus, the first cut must begin and end at the same point. A straw can be cut once without disconnecting it, and a hollow torus can be cut twice.

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What shape is a straw?

I guess I understand the “two holes” camp; after all, a straw is a cylinder through which liquid flows from one end to the other and that seems like two holes.