Washers & Cylindrical Shell

[boeing777]

1. Use volume by washer technique to find the volume of the solid obtained by rotating the region bounded by y = x and y = 2-x^2 from x = 0 to x = 1 about the x-axis.
2. Use volume by Cylindrical shell technique to find the volume of the solid obtained by rotating the region bounded by y = x^2 and y = x about the line x = 1.

 

[Deleted member 4993]

1. Use volume by washer technique to find the volume of the solid obtained by rotating the region bounded by y = x and y = 2-x^2 from x = 0 to x = 1 about the x-axis.
2. Use volume by Cylindrical shell technique to find the volume of the solid obtained by rotating the region bounded by y = x^2 and y = x about the line x = 1.

Please show us your work, indicating exactly where you are stuck, so that we know where to begin to help you.

 

[boeing777]

I completed these questions. but I'm not sure.
Please, show your works with detailed explanation.

 

[Deleted member 4993]

I completed these questions. but I'm not sure. <<< Then show us your work - so that we can check
Please, show your works with detailed explanation.