Volume Disk Method 1

Bounded regions can be revolved around a certain line to create a 3 dimensional figure. This new figure will have volume. Using integration we are able to calculate the volume of the figure. In the disk method we use disks to approximate the area.

Examples covered in this series:

1. What is the volume given by revolving the region bounded by the graph y=3, x=2, and x=6 about the x-axis?
2. What is the volume given by revolving the region bounded by the graph f(x) = sqrt( cos(x) ), x=0, x = PI/ 2 about the x-axis?
3. What is the volume given by revolving the region bounded by the graph f(x) = 1 / sqrt( 3x +1) , x =0, and x = 5 about the x-axis.
4. What is the volume given by revolving the region bounded by f(y) = - (y – 3)^2 + 5 and the line x =0, around the y axis
5. What is the volume given by revolving the region bounded by f(x) = x^2 – x, g(x) = 1, about the line y =1 
 

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