### Home > CALC > Chapter 12 > Lesson 12.1.4 > Problem 12-47

12-47.

Set up an integral to represent the volume of the a solid formed by semicircular cross sections perpendicular to the *x*-axis with a base bounded by *y* = *e ^{x} *and

*y*=

*-*2

*on the interval [0,4]. Homework Help ✎*

^{x}Since *e ^{x}* > –2

*for all*

^{x}*x*, the diameter of the base will be (

*e*– (–2

^{x}*)).*

^{x}For a semicircular region, *A* = 0.5*πr*^{2}.