A solid has, as its base, the circular region in the xy-plane 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 x-axis is a quarter circle with one of its radii in the base.
I really can't picture this. I tried to draw it out, but I'm unable to get the right answer.
chukie, I made up a quick graph of this since you said that you had difficulty visualizing it.
Note that we have a circular base, and along the left half of it lies the "center" of our quarter-circles (what I mean to say is, the center of the circles that the quarter-circles belong to), and the radius of these circles extend from one side of the base to the other.