For the base and the height of the triangle are so, the area is . Then,
The following is an exercise from Rogawski's Calculus: Early Transcendentals, section 6.2:
In Exercises 9-14, find the volume of the solid with given base and cross sections.
9. The base is the unit circle and the cross sections perpendicular to the -axis are triangles whose height and base are equal.
I don't clearly understand the question. What exactly are the cross sections ("perpendicular" is ambiguous), and what do I need to integrate? (The answer key says .)