Spheres | Polyhedra | Elementary geometry
In geometry, the inscribed sphere or insphere of a convex polyhedron is a sphere that is contained within the polyhedron and tangent to each of the polyhedron's faces. It is the largest sphere that is contained wholly within the polyhedron, and is dual to the dual polyhedron's circumsphere. The radius of the sphere inscribed in a polyhedron P is called the inradius of P. (Wikipedia).
Sphere Inscribed Inside a Right Circular Cone
Link: https://www.geogebra.org/m/SnMFk5NC
From playlist 3D: Dynamic Interactives!
Inscribed Angle Theorem: Proof Without Words
Link: https://www.geogebra.org/m/PgjnhjJF
From playlist Geometry: Dynamic Interactives!
Inscribed Angles in Circles and Tangent Lines
I define Inscribed Angles, Inscribed Angles involving Tangent Lines, and 3 Corollaries of Inscribed Angles. I work through five examples to help your understanding. Find free review test, useful notes and more at http://www.mathplane.com If you'd like to make a donation to support my effo
From playlist Geometry
Fun and interesting problem that deals with spheres and cubes fitting inside each other
From playlist Middle School - Worked Examples
From playlist Drawing a sphere
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
Inscribed Angle Theorems + Corollaries!
Links: https://www.geogebra.org/m/kxgHfpBT#chapter/65779
From playlist Geometry: Dynamic Interactives!
Largest possible volume of a cylinder inscribed in a sphere (KristaKingMath)
► My Applications of Derivatives course: https://www.kristakingmath.com/applications-of-derivatives-course "Find the largest possible volume of a right circular cylinder that can be inscribed in a sphere with radius r." Learn how to find the largest possible volume of a cylinder inscribe
From playlist Calculus I
Understanding the Surface Area of a Sphere Formula
Deriving the formula. Proof and explanation that Surface Area of a Sphere is equal to 4πr^2 using geometry and algebra. The surface area of a sphere is the area occupied by the surface of the sphere. Detailed explanation here: http://pythagoreanmath.com/deriving-the-surface-area-of-a-s
From playlist Math formulas, proofs, ideas explained
Johnathan Bush (7/8/2020): Borsuk–Ulam theorems for maps into higher-dimensional codomains
Title: Borsuk–Ulam theorems for maps into higher-dimensional codomains Abstract: I will describe Borsuk-Ulam theorems for maps of spheres into higher-dimensional codomains. Given a continuous map from a sphere to Euclidean space, we say the map is odd if it respects the standard antipodal
From playlist AATRN 2020
Math B - Optimisation / optimization - Maximise volume of cone inscribed in sphere
In this second lesson on optimisation using derivatives, we will find the largest possible volume of a right circular cone inscribed in a sphere. This is a very difficult calculus differentiation question, be prepared! Make sure you have done all my differential calculus lessons as well as
From playlist Maths B / Methods Course, Grade 11/12, High School, Queensland, Australia.
Optimization Cylinder in Sphere with Radius r
I work through an example of finding the maximum possible volume of a right circular cylinder inscribed in a sphere with an unknown radius of r. Optimization Calculus Problems Minimizing Lengths https://www.youtube.com/watch?v=tDoW2euBcfk&list=PL67C119EDA6BDE946&index=56&t=15s Optimizatio
From playlist Calculus
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
Geometry - Basic Terminology (29 of 34) What Are Inscribed Angles?
Visit http://ilectureonline.com for more math and science lectures! In this video I will define and gives the formula of inscribed angles. Next video in the Basic Terminology series can be seen at: http://youtu.be/zn5eRO_T15Q
From playlist GEOMETRY 1 - BASIC TERMINOLOGY
Max volume of a rectangular box inscribed in a sphere (KristaKingMath)
► My Partial Derivatives course: https://www.kristakingmath.com/partial-derivatives-course ► My Applications of Derivatives course: https://www.kristakingmath.com/applications-of-derivatives-course Learn how to find the largest possible volume of a rectangular box inscribed in a sphere o
From playlist Calculus I
Optimization Calculus Problems Volume Calculus 1 AB
Maximizing Volume of Cube w/fixed Surface Area 1:53 Maximizing Volume of Cone Inscribed in a Sphere 11:51 Minimizing Cost of Manufacturing a Storage Tank 25:03 Find free review test, useful notes and more at http://www.mathplane.com If you'd like to make a donation to support my efforts lo
From playlist Calculus
Mikhail Katz (5/12/22): Extremal Spherical Polytopes and Borsuk's Conjecture
Talk title: Extremal Spherical Polytopes and Borsuk's Conjecture
From playlist Bridging Applied and Quantitative Topology 2022
Henry Adams (3/22/22): Gromov-Hausdorff distances, Borsuk-Ulam theorems, and Vietoris-Rips complexes
The Gromov-Hausdorff distance between two metric spaces is an important tool in geometry, but it is difficult to compute. For example, the Gromov-Hausdorff distance between unit spheres of different dimensions is unknown in nearly all cases. I will introduce recent work by Lim, Mémoli, and
From playlist Vietoris-Rips Seminar
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