Calculus (Volume of Solids)
posted by Casablanca on .
A solid has, as its base, the circular region in the xyplane bounded by the graph of x^2 + y^2 = 4. Find the volume of the solid if every cross section by a plane perpendicular to the xaxis is a quarter circle with one of its radii in the base.

what does "one of its radii in the base" mean? Is its radius centered on the xaxis, or on a point of the circle, or what?

This is precisely why I posted, I thought that the wording of this practice problem might make sense to someone else, because it completely confused me.
After a lot of thinking, I figured that the solid of revolution was a hemisphere. It was created by rotating the quarter circle in the first quadrant around the yaxis perhaps. This resulted in a volume of (32/3)pi.