Please solve this on paper and explain it. Thank you in advance!

1. (3 points) Find the area of the region enclosed by the graphs of x + (y 1)2 = 1 and 2:1: = y2. 2. Consider the right circular cone with radius r and height h. In this problem you will ShOW that the volume of the cone is %m'2h by interpreting the cone as a solid of revolution (about the xaxis). a) (1 point) Find the slope and the yintercept of the line formed by the hypotenuse of the blue right triangle. What is an equation for this line? b) (1 point) Set up and evaluate an integral to nd the volume of this solid of revolution (keep in mind 1' and h should be treated as constants - the dimensions of the cone are not changing)