Did you make a sketch?
Your radii are wrong . . .
Consider the solid obtained by rotating the region bounded by the given curves
about the line .The curves are: .
Find the volume of this solid.
Facts: The only points of interesction are at (0,0) and (1,1).
We need to use the washer method.
However, since the region is being rotated around the line ,
the radius of each circle will be . . . . . no
We also need to integrate from 0 to 1 along y.Code:| : | * | ...* : | *:::/ : | *:::/ : |*::/ : |:/ : - * - - - - - - - - + - - | 5
Our functions are: .
The outer radius is: .
The inner radius is: .