Hello, calc101!

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).

Attempted Solution:

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: .

Hence: .