The first quadrant region bounded by y=2x, the x-axis, and the line x=2 revolved around the line x=2. Find the resulting volume.

1) 4pi/3
2) 2pi
3) 16pi/3
4) 16
5) none of these

Question

The first quadrant region bounded by y=2x, the x-axis, and the line x=2 revolved around the line x=2. Find the resulting volume.

1) 4pi/3
2) 2pi 
3) 16pi/3
4) 16
5) none of these

mathmale · Answer

Hello, CC,

First of all:  Have you sketched this region?  That's usually a good place to start.

Next, please decide which of the three methods of finding the volume of rotation of this region would be most suitable here:  disks, washers or shells.

Next, based upon your choice of method, determine the appropriate limits of integration.

Have you done this kind of problem before, or at least seen it done in class or online?

anonymous · Answer

I have sketched the region. Would the washer method be best for this problem?

mathmale · Answer

Next time, please sketch the region in the Draw utility, below, so that I can see what you've done.  

I wouldn't use the washer method myself.  Which criteria are you using to choose from among those three methods I listed earlier?