Visualizing Solids of Revolution and Volumes
- Author:
- Lila Roberts
- Topic:
- Solids or 3D Shapes, Volume
This applet illustrates the solid of revolution when the region bounded by the y-axis, y = 4, and is revolved about the y-axis. Options are given to display the solid of revolution and/or the approximating disk and/or the approximating shell.
- Write an expression that gives the volume of an approximating disk.
- Write an integral that represents the volume of the solid of revolution using the method of disks (circular cross sections).
- Write an expression that gives the volume of an approximating shell.
- Write an integral that represents the volume of the solid of revolution using the method of shells.