The 4D Volume of a 4D Sphere

#math #maths #calculus #integration #mathematics #4d #hypersphere #hypervolume #interesting #problemsolving #problemsolvingskills #education #educational

This video covers a method that can be used to find the 4-dimensional volume of a 4-dimensional sphere. Although this problem may seem impossible in some ways as we cannot even visualize what a 4-dimensional sphere would look like, math gives us the power to solve even difficult problems such as this.



Credits

Arial view of the Empire State Building in 2012. Photograph. Wikipedia, 2012, upload.wikimedia.org/wikipedia/commons/thumb/1/10/Empire_State_Building_%28aerial_view%29.jpg/375px-Empire_State_Building_%28aerial_view%29.jpg. Accessed 16 Sept. 2023.

A Image of a Hypersphere. Image. Isaac's Science Blog, isaacscienceblog.files.wordpress.com/2016/11/d1nd4ytg1cch4fxaad97wh41nt.png. Accessed 16 Sept. 2023.

A Image of a Tesseract (4-d Cube). Image. Wikipedia, upload.wikimedia.org/wikipedia/commons/thumb/2/22/Hypercube.svg/943px-Hypercube.svg.png. Accessed 16 Sept. 2023.

Some images and parts of this video were created using GeoGebra’s 3D Calculator.