In mathematics and, in particular, differential geometry a circular surface is the image of a map ƒ : I × S1 → R3, where I ⊂ R is an open interval and S1 is the unit circle, defined by where γ, u, v : I → R3 and r : I → R>0, when R>0 := { x ∈ R : x > 0 }. Moreover, it is usually assumed that u · u = v · v = 1 and u · v = 0, where dot denotes the canonical scalar product on R3, i.e. u and v are unit length and mutually perpendicular. The map γ : I → R3 is called the base curve for the circular surface and the two maps u, v : I → R3 are called the direction frame for the circular surface. For a fixed t0 ∈ I the image of ƒ(t0, θ) is called a generating circle of the circular surface. Circular surfaces are an analogue of ruled surfaces. In the case of circular surfaces the generators are circles; called the generating circles. In the case of ruled surface the generators are straight lines; called rulings. (Wikipedia).
This video defines a cylindrical surface and explains how to graph a cylindrical surface. http://mathispower4u.yolasite.com/
From playlist Quadric, Surfaces, Cylindrical Coordinates and Spherical Coordinates
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
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
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
Finding the volume and 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
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
How do you find 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
Geometry: Ch 4 - Geometric Figures (15 of 18) The Right Circular Cone
Visit http://ilectureonline.com for more math and science lectures! In this video I will define the right circular cone, and explain the equations of its surface area and volume. Next video in this series can be seen at: https://youtu.be/QTuyo-_2iTQ
From playlist GEOMETRY 4 - GEOMETRIC FIGURES
Surface Area of a Cylinder: Without Words
Link: https://www.geogebra.org/m/rCxXxFhE
From playlist Geometry: Dynamic Interactives!
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
This video lesson shows how the Law of Universal Gravitation is used to derive an equation for calculating the value of the gravitational field strength. The variables affecting g are discussed and the equation is used in several contexts to calculate a g value. You can find more informa
From playlist Circular and Satellite Motion
What is the Surface Area of a Right Circular Cone? | Don't Memorise
✅To learn more about Mensuration, enroll in our full course now: https://infinitylearn.com/microcourses?utm_source=youtube&utm_medium=Soical&utm_campaign=DM&utm_content=rd8tbD2eekM&utm_term=%7Bkeyword%7D In this video, we will learn: 0:00 total surface area of the cone 0:32 area of the
From playlist Surface Area And Volume Class 09
How to determine the surface area of a cylinder
👉 Learn how to find the volume and the surface area of a cylinder. A cylinder is a 3-dimensional object having two circular bases and a round surface joining the bases. The vertical distance between the circular bases of a cylinder is called the height of the cylinder. A cylinder is said t
From playlist Volume and Surface Area
surface area of cones (KristaKingMath)
► My Geometry course: https://www.kristakingmath.com/geometry-course In this video we'll learn how to find the surface area of right circular cones. A right circular cone is a cone whose base is a circle and that has a right angle (90-degree angle) between the base of the cone and it's al
From playlist Geometry
Finding the volume and surface area of a cone
👉 Learn how to find the volume and the surface area of a cone. A cone is a 3-dimensional object having a circular base and round surface converging at a single point called its vertex (or apex). The vertical distance from the circular base of a cone to its vertex is called the height of th
From playlist Volume and Surface Area
First intro to right circular cylinders in junior or high school geometry
👉 Learn how to find the volume and the surface area of a cylinder. A cylinder is a 3-dimensional object having two circular bases and a round surface joining the bases. The vertical distance between the circular bases of a cylinder is called the height of the cylinder. A cylinder is said t
From playlist Volume and Surface Area
How to find the surface area of a cylinder
👉 Learn how to find the volume and the surface area of a cylinder. A cylinder is a 3-dimensional object having two circular bases and a round surface joining the bases. The vertical distance between the circular bases of a cylinder is called the height of the cylinder. A cylinder is said t
From playlist Volume and Surface Area
Geometry: An Interactive Journey to Mastery | The Great Courses
Learn more about this course and sign up for a FREE trial of The Great Courses Plus here: https://wondrium.com/youtube/lp/t2/math?utm_source=Video&utm_medium=Youtube&utm_campaign=149577 Like other math fields, geometry teaches us how to think. It leads students to uncover new truths based
From playlist Math and Statistics