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A sphere is a three-dimensional object that has no edges and no vertices. Visit BYJU'S to learn the sphere definition, surface area and volume formula, equation, properties and solved examples.
6 days ago · sphere, In geometry, the set of all points in three-dimensional space lying the same distance (the radius) from a given point (the centre), or the result of rotating a circle about one of its diameters. The components and properties of a sphere are analogous to those of a circle.
The sphere is a three-dimensional shape, also called the second cousin of a circle. A sphere is round, has no edges, and is a solid shape. The playing ball, balloon, and even light bulbs are examples of sphere shape.
Apr 13, 2024 · A sphere is defined as the set of all points in three-dimensional Euclidean space R^3 that are located at a distance r (the "radius") from a given point (the "center"). Twice the radius is called the diameter, and pairs of points on the sphere on opposite sides of a diameter are called antipodes.
Of all the shapes, a sphere has the smallest surface area for a volume. Or put another way it can contain the greatest volume for a fixed surface area. Example: if you blow up a balloon it naturally forms a sphere because it is trying to hold as much air as possible with as small a surface as possible. Press the Play button to see.
The formula for the volume of a sphere is V = 4/3 π r³, where V = volume and r = radius. The radius of a sphere is half its diameter. So, to calculate the surface area of a sphere given the diameter of the sphere, you can first calculate the radius, then the volume. Created by Sal Khan and Monterey Institute for Technology and Education.
Properties of a sphere. In Geometry, a sphere is defined as the set of all points in space that are equidistant from a fixed point (the center) of the sphere. Radius. A radius, r, of a sphere is a line segment from the center of the sphere to any point on the sphere's surface.
