### Home > CALC3RD > Chapter Ch5 > Lesson 5.2.5 > Problem5-109

5-109.

A flag is formed by the region bounded by $y = x + 3$,  $y=-2x+12$, and the $x$-axis. Calculate 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.

$V = 108π$ units3