### Home > APCALC > Chapter 12 > Lesson 12.1.4 > Problem 12-43

12-43.

Set up an integral to represent the volume of the solid formed by semicircular cross-sections that are perpendicular to the -axis with a base bounded by

*and*

*over the interval*

Since for all

*, the diameter of the base will be*

For a semicircular region, .