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 = ex and y = -2x on the interval [0,4]. Homework Help ✎
Since ex > –2x for all x, the diameter of the base will be (ex – (–2x)).
For a semicircular region, A = 0.5πr2.