Spheres | Elementary geometry

Circumscribed sphere

In geometry, a circumscribed sphere of a polyhedron is a sphere that contains the polyhedron and touches each of the polyhedron's vertices. The word circumsphere is sometimes used to mean the same thing, by analogy with the term circumcircle. As in the case of two-dimensional circumscribed circles (circumcircles), the radius of a sphere circumscribed around a polyhedron P is called the circumradius of P, and the center point of this sphere is called the circumcenter of P. (Wikipedia).

Circumscribed sphere
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Given the circumference how do you find the surface area of a hemisphere

👉 Learn how to find the volume and the surface area of a sphere. A sphere is a perfectly round 3-dimensional object. It is an object with the shape of a round ball. The distance from the center of a sphere to any point on its surface is called the radius of the sphere. A sphere has a unifo

From playlist Volume and Surface Area

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Find the volume of a sphere given the circumference

👉 Learn how to find the volume and the surface area of a sphere. A sphere is a perfectly round 3-dimensional object. It is an object with the shape of a round ball. The distance from the center of a sphere to any point on its surface is called the radius of the sphere. A sphere has a unifo

From playlist Volume and Surface Area

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Inscribed Polygons and Circumscribed Polygons, Circles - Geometry

This geometry video tutorial provides a basic review into inscribed polygons and circumscribed polygons with reference to circles. The opposite angles of a quadrilateral inscribed in a circle are supplementary. This video also explains how to solve the walk around problem when a circle i

From playlist Geometry Video Playlist

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Geometry - Basic Terminology (32 of 34) What does Inscribed and Circumscribed Mean?

Visit http://ilectureonline.com for more math and science lectures! In this video I will describe when are shapes are inscribed and circumscribed. Next video in the Basic Terminology series can be seen at: http://youtu.be/G78Lv-LgvmM

From playlist GEOMETRY 1 - BASIC TERMINOLOGY

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Learn how to determine the volume of a sphere

👉 Learn how to find the volume and the surface area of a sphere. A sphere is a perfectly round 3-dimensional object. It is an object with the shape of a round ball. The distance from the center of a sphere to any point on its surface is called the radius of the sphere. A sphere has a unifo

From playlist Volume and Surface Area

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How do you find the surface area of a sphere

👉 Learn how to find the volume and the surface area of a sphere. A sphere is a perfectly round 3-dimensional object. It is an object with the shape of a round ball. The distance from the center of a sphere to any point on its surface is called the radius of the sphere. A sphere has a unifo

From playlist Volume and Surface Area

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Finding the volume and the surface area of a sphere

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From playlist Volume and Surface Area

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Geometrical Snapshots from Ancient Times to Modern Times - Tom M. Apostol - 11/5/2013

The 23rd Annual Charles R. DePrima Memorial Undergraduate Mathematics Lecture by Professor Tom M. Apostol was presented on November 5, 2013, in Baxter Lecture Hall at Caltech in Pasadena, CA, USA. For more info, visit http://math.caltech.edu/events/14deprima.html Produced in association w

From playlist Research & Science

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How do you find the volume of a sphere

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From playlist Volume and Surface Area

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From playlist Julius Sumner Miller - Full Physics Laboratory Demonstrations

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From playlist MATRIX-SMRI Symposium: Singularities in Geometric Flows

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Inner and outer billiards in symplectic spaces - Sergei Tabachnikov

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Geodesic domes and spheres

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From playlist Bryan Magee Interviews - Modern Philosophy: Men of Ideas (1977-1978)

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Volume of a Sphere

practice and understanding in finding the volume of a sphere

From playlist Middle School - Worked Examples

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Areas and volumes for a sphere | Universal Hyperbolic Geometry 35 | NJ Wildberger

The beautiful formulas for the surface area and volume of a sphere go back to Archimedes, who also discovered some other remarkable facts relating spheres to circumscribing cylinders. We describe these results. Then we introduce rational turn angles---a renormalization of the notion of an

From playlist Universal Hyperbolic Geometry

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Ryuhei Uehara - Design Schemes for Fair Dice - G4G13 April 2018

A cube is used as a fair die of 6 faces. However, there are many dice of different shapes on the market. To make them fair, most of them usually have some symmetric shapes. I classify these variants of dice on the market into two groups. First, let's consider that a sphere as a model of a

From playlist G4G13 Videos

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Approximating Pi with Gregory's Theorem (visual proof for Pi day)

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From playlist Algebra

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How do you find the volume of a hemisphere

👉 Learn how to find the volume and the surface area of a sphere. A sphere is a perfectly round 3-dimensional object. It is an object with the shape of a round ball. The distance from the center of a sphere to any point on its surface is called the radius of the sphere. A sphere has a unifo

From playlist Volume and Surface Area

Related pages

Hyperbolic space | Radius | Ideal polyhedron | Smallest-circle problem | Vertex (geometry) | Convex hull | Cube | Polyhedron | René Descartes | Geometry | Sphere | Inscribed sphere | Bounding sphere | Bipyramid | Circumscribed circle | Midsphere | Circumcenter