Question: Using the region of Problem, find the volume when it is rotated around
(a) The line y = 1.
(b) The y-axis.
Problem: (a) Sketch the solid obtained by rotating the region bounded by y = √x, x = 1, and y = 0 around the line y = 0.
(b) Approximate its volume by Riemann sums, showing the volume represented by each term in your sum on the sketch.
(c) Now find the volume of this solid using an integral.