# Cylindrical Shells: REVAMPED!

- Author:
- Tim Brzezinski

- Topic:
- Calculus, Integral Calculus

## STUDENTS:

Take a few minutes to interact with this applet below.
After doing so, please answer the key question that appears below the applet.

**Note:**You can move the**LARGE POINTS**at any time.**To explore this resource in Augmented Reality, see the directions below the first screencast.**## KEY QUESTION:

How can we find the volume of this (or ANY) unraveled cylindrical shell? Explain.

## TO EXPLORE IN AUGMENTED REALITY:

1) Open up GeoGebra 3D app on your device.
2) In the menu, go to OPEN.
In the search field, type

**huehrzt4**3) In the algebra view that appears below, be sure to slide slider first. Then slide slider**w.**After drag slider**s**to unravel.**Note:**The**pink slider****n**controls the size of**deltax.**To change the filling of the solid at any time, adjust the slider named**Filling**(at the very bottom).