**How it works ?**

This applet dynamically illustrates how rotating an **arc length** of a piece of the graph of a function * f* , from

*to*

**x = a***, about an axis, generates a*

**x = b****surface of revolution**. For simplicity, the axis of revolution here is the

*x*-axis.

You can alter the values of

* a*= lower limit of integration

* b * = upper limit of integration

* n* = number of equal intervals into which the interval

**[***is divided.*

**a,b]**How does increasing the value of * n* change the appearance of the

**surface of revolution**?

**To explore this in Augmented Reality, see directions below this interactive figure.**

## TO EXPLORE IN AUGMENTED REALITY:

1) Open up GeoGebra 3D app on your device.

2) Select the MENU (3 horizontal bars upper left).

3) Select

**OPEN**. Under “Search”, type**dbska9aq**4) Select the 1 option that appears.

5) You can alter function

**f**, lower limit of integration**a**, upper limit of integration**b**, and**n**= number of intervals where each**dx=(b-a)/n**