# Disc Method: REVAMPED!

- Author:
- 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**.