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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 ≤ −2x + 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 = 108π units3