Disc Method: REVAMPED!
- Tim Brzezinski
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: function f lower limit of integration (a) upper limit of integration (b) n = number of differential rectangles. The width of each rectangle = To explore this resource in Augmented Reality, see the directions below the first screencast.
Given that the width of each differential rectangle = and the height of each rectangle = , write an expression for the volume of one disc.
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.