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Graphing Circular Cylinders in 3D

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First published at 20:17 UTC on March 19th, 2024.

#math
#science
#geometry

Math Easy Solutions

MES

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In this video I show how to graph vertical and horizontal circular cylinders in 3 dimensions. The first example is the vertical cylinder with equation x^2 + y^2 = 1. This is just the equation of a circle with radius 1, but since z is not present, the circle extended along the z-axis vertically. The second example is the horizontal cylinder y^2 + z^2 = 1. This again is just the equation of a circle of radius 1 but along the yz-plane. Since the x-axis is not present this means the circle gets extended horizontally along the x-axis. I graph these cylinders manually as well as with the GeoGebra 3D graphing calculator: https://www.geogebra.org/3d/tabys4ec

Time stamps:

- Example 2: Circular Cylinders: 0:00
- (a) Vertical Cylinder: 0:20
- Graphing in GeoGebra: 3:43
- (b) Horizontal Cylinder: 4:12
- Graphing in GeoGebra: 6:29
- Note: 3D Surfaces vs 2D Traces: 7:07

Full video below:

- Cylinders and Quadric Surfaces: https://youtu.be/k4EyLr4uOUA
- HIVE video notes: https://peakd.com/hive-128780/@mes/cylinders-and-quadric-surfaces
- Video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0EfmYwT81SebJnU1Ny8Fc5u
- Infinite Sequences and Series playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FjJpwnxwdrOR7L8Ul8VZoZ .

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