I have two questions here, the first i need someone to show me my mistake somewhere, the second I have no idea how to do.
1. The area defined by the inequalities
is rotated about the y-axis. Find the volume generated.
I take the raduis of the figure generated from the y-axis outward. so then its value would be
2. Find the volume generated when the area in the first quadrant enclosed by , and the line y=1 is rotated about the line y=1.
I only know that the lines intersect at x=0 and . Also the radii of the figure would be .