# Find the volume of the solid obtained by rotating the region

1. Jul 25, 2010

### phillyolly

1. The problem statement, all variables and given/known data
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

2. Relevant equations

3. The attempt at a solution

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

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2. Jul 25, 2010

### jegues

Everything looks good. Good job!

3. Jul 25, 2010

### jegues

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

See figure.

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• ###### sori.JPG
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4. Jul 25, 2010

### phillyolly

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

5. Jul 25, 2010

### phillyolly

Hey, where is the solid located on the function?