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What are the properties of a sphere?

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Quick Answer

A sphere is a solid geometric figure defined as the set of all points equidistant from a common center point. It is perfectly symmetrical, and its surface is uniformly curved, without any edges, vertices or faces. It is the shape made when a semi-circle is rotated around its diameter.

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What are the properties of a sphere?
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Full Answer

A sphere has the smallest surface area able to contain a given volume. Soap bubbles tend to form spheres because the soap film is naturally drawn into the shape with the least amount of surface area in which to enclose the volume of air. Metaphorically, the word is often used to describe the place where a person or thing exists, as in the expression, "sphere of influence." This usage suggests that the person's influence is bounded or limited, just as the interior of a sphere is contained within its surface.

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Related Questions

  • Q:

    How many vertices does a sphere have?

    A:

    A vertex is a corner on a polygon, polytope or polyhedron, and when faces, facets or edges of an object come together, a vertex forms; however, because a sphere features no meeting points, it has no vertices. Even though a sphere does have one continuous surface, its lack of meeting points with any other surface means that it technically has no faces. Spheres have no lines, so they also have no edges.

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  • Q:

    What is the difference between concave and convex?

    A:

    "Concave" is an adjective describing a surface that curves inward, like the inner surface of a sphere. Its antonym, "convex," describes a surface that curves outward, like the exterior of a sphere. In geometry, concave and convex refer to polygons. A concave polygon has at least one angle greater than 180 degrees. A convex polygon is made of angles each less than or equal to 180 degrees.

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  • Q:

    What shape is a sphere?

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    A sphere is a round-shaped object in three-dimensional space. All points on a sphere's surface are the same distance from its center point. Some examples of a sphere are a globe, marble, soccer ball and basketball.

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  • Q:

    How many edges does a sphere have?

    A:

    A sphere lacks edges. Edges are associated with faces and are found in shapes like squares and rectangles. Because of the round shape of a sphere, it lacks faces.

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