Find the volume of the solid obtained by rotating the region

[phillyolly]

Homework Statement

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or washer. About x axis.
1)
y=1-x²
y=0

Homework Equations

The Attempt at a Solution

I sketched a curve and a region. A typical disk and a solid? And please check the solution?

 

[jegues]

Everything looks good. Good job!

 

[jegues]

I drew a little sketch to give you some extra intuition on solids of revolution.

See figure.

 

[phillyolly]

That's great, thank you! I will try now to solve both of the problems. Let's see what happens.

 

[phillyolly]

Hey, where is the solid located on the function?