How it works ?
This resource can be used to illustrate how a solid of revolution is formed by rotating the area bound by the yAxis, a function f, and the vertical lines x = a & x = b.
When a differential rectangle is spun around the xAxis, it creates a surface of revolution called a disc.
You can alter the following parameters:
lower limit of integration (a)
upper limit of integration (b)
n = number of differential rectangles.
The width of each rectangle = △ x=(b-a)/n
To explore this resource in Augmented Reality, see the directions below the first screencast.
To Explore in Augmented Reality:
1) Open up GeoGebra 3D app on your device.
2) Go to the menu (upper left). Select OPEN. Under SEARCH, type s7mqyzee
3) The ∝ slider controls the angle. a and b control the upper and lower limits of integration. The colored filling sliders are also there. To change the function (even though it’s labeled “f“), change function h. n = number of discs.