# Modifiable Solid: Semicircular Cross Sections Parallel to yAxis

- Author:
- Tim Brzezinski

## HOW TO USE:

Enter any

**UPPER FUNCTION**(labeled upper(x)). Enter any**LOWER FUNCTION**(labeled lower(x)). Enter your**lower and upper limits of integration**("a" and "b", respectively). Slide the**FILLING**slider all the way to the left. For this solid, note how cross sections parallel to the yAxis are**semicircles**. The diameter of this**semicircle**lies in the base and has length = upper(x) - lower(x). You can move this**semicircle**by sliding the**MoveMe**slider. You can modify any of these parameters (functions, limits) at any time.**To explore in augmented reality, see the directions below this applet.**## TO EXPLORE IN AUGMENTED REALITY:

) Open up GeoGebra 3D app on your device.
2) Go to the MENU (horizontal bars) in the upper left corner. Select OPEN.
In the Search GeoGebra Resources input box, type

**epxhemgz**(Note this is the resource ID = last 8 digits of the URL for this resource.) 3) In the resource that uploads, zoom in/out if needed. You can alter the functions upper(x), lower(x). You can also move sliders a, b, MoveMe, and Filling. (Be sure to leave everything else alone.)