The ellipse and the parabola Let R be the region bounded by the upper half of the ellipse x2/2 + y2 = 1 and the parabola .

a. Find the area of R.

b. Which is greater, the volume of the solid generated when R is revolved about the x-axis or the volume of the solid generated when R is revolved about the y-axis?

Solution 76E

Step 1:

Given that

Let R be the region bounded by the upper half of the ellipse x2/2 + y2 = 1 and the parabola .