Copy of Disc Method: REVAMPED!
- Author:
- John Czartosieski, Tim Brzezinski
CALCULUS STUDENTS:
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.