For the following problem, sketch the region and then find the volume of the solid where the base is the given region and which has the property that each cross section perpendicular to the x-axis is a semicircle.
1) the region bounded above by y=cosx, below by y=sinx and on the left by the y-axis
For the following problem, find the volume of the solid formed when the region described is revolved about the x-axis using washers or disks.
1) the region bounded by the lines x=0, x=1, y=x+1, and y=x+2
For the following problem, use shell to find the volume of the solid formed by revolving the given region about the y-axis.
Volumes of solids of revolution are found using the disk and shell methods.