I've been stuck on these problems and was hoping to have someone solve them so I could see how each one is done. Consider the curves given by y=sinx and cosx

For each of the following problems, you should include a sketch of the region/solid being considered, as well as a labeled representative slice.

1. Set up a definite integral whose value is the exact volume of the solid of revolution generated by revolving about the y-axis

2. Set up a definite integral whose value is the exact volume of the solid of revolution generated by revolving about y=2

Consider the finite region y = 1+ 0.5(x-2)^2 and y = 0.5x^2, and x=0

3. Deterimine an expression involving one or more whose value of the volume of revolution generated by revolving the region R about the y-axis.