Silvanoshei
Junior Member
- Joined
- Feb 18, 2013
- Messages
- 61
Here's the problem to base the usage of each on.
Let R be the region bounded by the curve y=x, the line y=1 and the y-axis. Find the volume of the solid generated when the region R is revolved:
(a) around x=−21
(b) around y=1
(c) around x-axis.
The first thing that pops into my mind is the Washer Method, because it can get rid of that nasty sqrt sign fairly easy with it's ^2 notation. Drawing it is fairly simple, I'm really confused on the rotation bit though. Could I use Washer Method on all 3 cases? Or is there a better approach to each rotation?
Let R be the region bounded by the curve y=x, the line y=1 and the y-axis. Find the volume of the solid generated when the region R is revolved:
(a) around x=−21
(b) around y=1
(c) around x-axis.
The first thing that pops into my mind is the Washer Method, because it can get rid of that nasty sqrt sign fairly easy with it's ^2 notation. Drawing it is fairly simple, I'm really confused on the rotation bit though. Could I use Washer Method on all 3 cases? Or is there a better approach to each rotation?