Sphere | Wikipedia audio article - YouTube Subhajit Sahu

This is an audio version of the Wikipedia Article: https://en.wikipedia.org/wiki/Sphere 00:01:40 1 Equations in three-dimensional space 00:07:25 2 Enclosed volume 00:08:29 3 Surface area 00:14:31 4 Geometric properties 00:14:54 4.1 Pencil of spheres 00:20:51 5 Terminology 00:22:10 6 Hemisphere 00:22:20 7 Generalizations 00:24:36 7.1 Dimensionality 00:25:57 7.2 Metric spaces 00:26:40 8 Topology 00:26:49 9 Spherical geometry 00:30:22 10 Eleven properties of the sphere 00:31:09 11 Gallery 00:32:28 12 Regions 00:33:37 13 See also 00:39:40 14 Notes 00:39:48 15 References 00:40:09 16 External links Listening is a more natural way of learning, when compared to reading. Written language only began at around 3200 BC, but spoken language has existed long ago. Learning by listening is a great way to: - increases imagination and understanding - improves your listening skills - improves your own spoken accent - learn while on the move - reduce eye strain Now learn the vast amount of general knowledge available on Wikipedia through audio (audio article). You could even learn subconsciously by playing the audio while you are sleeping! If you are planning to listen a lot, you could try using a bone conduction headphone, or a standard speaker instead of an earphone. Listen on Google Assistant through Extra Audio: https://assistant.google.com/services... Other Wikipedia audio articles at: https://www.youtube.com/results?searc... Upload your own Wikipedia articles through: https://github.com/nodef/wikipedia-tts Speaking Rate: 0.9195937330825956 Voice name: en-AU-Wavenet-C "I cannot teach anybody anything, I can only make them think." - Socrates SUMMARY ======= A sphere (from Greek σφαῖρα — sphaira, "globe, ball") is a perfectly round geometrical object in three-dimensional space that is the surface of a completely round ball (viz., analogous to the circular objects in two dimensions, where a "circle" circumscribes its "disk"). 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, but in a three-dimensional space. This distance r is the radius of the ball, which is made up from all points with a distance less than (or, for a closed ball, less than or equal to) r from the given point, which is the center of the mathematical ball. These are also referred to as the radius and center of the sphere, respectively. The longest straight line segment through the ball, connecting two points of the sphere, passes through the center and its length is thus twice the radius; it is a diameter of both the sphere and its ball. While outside mathematics the terms "sphere" and "ball" are sometimes used interchangeably, in mathematics the above distinction is made between a sphere, which is a two-dimensional closed surface, embedded in a three-dimensional Euclidean space, and a ball, which is a three-dimensional shape that includes the sphere and everything inside the sphere (a closed ball), or, more often, just the points inside, but not on the sphere (an open ball). The distinction between ball and sphere has not always been maintained and especially older mathematical references talk about a sphere as a solid. This is analogous to the situation in the plane, where the terms "circle" and "disk" can also be confounded.

Sphere | Wikipedia audio article - YouTube
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