Calculus 2 - Center of Mass and Pappus Centroid Theorem

[Sune Irl]

Homework Statement

determine the center of mass of a thin plate of density 12 and whose shape is the triangle of vertices (1,0), (0,0), (1,1). Then, using the appropriate pappus theorem, calculate the volume of the solid obtained by rotating this region around the line x = -2.

Homework Equations

Center of Mass and Pappus Theorem

The Attempt at a Solution

I'm stuck on graphing the lines to solve.

 

[jedishrfu]

You don't have to graph anything here.

When x=-2 then you have a vertical line at x=-2 and you're going to rotate the 45-45-90 triangle about the vertical line at x=-2

Does that make sense?