00:01
Here we have the equation y, which is equal to 6x squared, and we want to take the volume of the region, if i take that, which i'll go ahead and graph, 6x squared, and x equals 2 and x equals 3, and take this region bounded about and rotate it about the x -axis.
00:21
So, since i'm rotating about the x -axis with y equals to a function, i'm going to use the method of shells.
00:29
Sorry, not shells.
00:29
I'm going to use the disk washer, washer method.
00:33
So i'm going to take the integral from x to x, so that's going to be from 2 to 3 of pi r squared.
00:39
So pi times the radius, well, if i look at this thing, that's when it's going to get flipped around.
00:46
So the radius of that circle...