The formula to find the volume is:

That means "a" would be setup as follows:

The integral will be from 0 to 1.

The reason we multiply it by 2 is because the two lines actually form a solid twice. Therefore we will take the integral from a point of intersection to the next point of intersection on one solid and multiply times 2 in order to get the volume of both solids.

b)To find the area going around the y-axis we need to place all of our 's in terms of .

We come out with and . Remember the graph looks the same, but the equations are just in terms of .

Then just use the formula to find the volume.

Your setup should look as follows:

The integral will be from 0 to 1 again because the graphs intersect at those points.

Question "c" is beyond my knowledge. Maybe someone else here can enlighten me.

If you have any questions, just ask!