# Solids of revolution - disc method

12 videos

1 skill

You know how to use definite integrals to find areas under curves. We now take that idea for "spin" by thinking about the volumes of things created when you rotate functions around various lines.
This tutorial focuses on the "disc method" and the "washer method" for these types of problems.

### Disk method around x-axis

VIDEO
9:01 minutes

Finding the solid of revolution (constructed by revolving around the x-axis) using the disc method.

### Generalizing disc method around x-axis

VIDEO
2:35 minutes

Generalizing what we did in the last video for f(x) to get the "formula" for using the disc method around the x-axis

### Disc method around y-axis

VIDEO
7:33 minutes

Finding the volume of a figure that is rotated around the y-axis using the disc method

### Disc method (washer method) for rotation around x-axis

VIDEO
9:07 minutes

Finding the volume of a solid of revolution that is defined between two functions

### Generalizing the washer method

VIDEO
8:31 minutes

Looking at the example from the last video in a more generalized way

### Disc method rotation around horizontal line

VIDEO
9:54 minutes

Solid of revolution constructing by rotating around line that is not an axis

### Washer method rotating around non-axis

VIDEO
6:38 minutes

Washer method when rotating around a horizontal line that is not the x-axis

### Part 2 of washer for non axis rotation

VIDEO
8:14 minutes

Doing some hairy algebra and arithmetic to evaluate the definite integral from the last video

### Disc method rotating around vertical line

VIDEO
4:51 minutes

Volume of solid created by rotating around vertical line that is not the y-axis using the disc method.

### Calculating integral disc method around vertical line

VIDEO
5:39 minutes

Let's calculate the integral from the last video.

### Washer or ring method for vertical line rotation

VIDEO
7:50 minutes

Setting up the definite integral for the volume of a solid of revolution around a vertical line using the "washer" or "ring" method.

### Evaluating integral for washer method around vertical line

VIDEO
5:35 minutes

Evaluating integral set up in the last video using washer method.

### Volumes of solids of revolution, discs, and washers

PRACTICE PROBLEMS