### Home > CALC > Chapter 5 > Lesson 5.2.5 > Problem 5-109

5-109.

A flag is formed by the region bounded by *y ≤ x* + 3, *y* ≤ −2*x* + 12, and the *x*-axis. Find the volume of the solid formed by rotating the flag about the *x*-axis. Homework Help ✎

Sketch the graph and outline the flag. Notice that the resultant volume will be two cones each with radius 6, but different heights.

*V* = 108*π* units^{3}