# Bonus. (8 pts) Many of the definitions we used for two-dimensional mass and moments can be...

###### Question:

Bonus. (8 pts) Many of the definitions we used for two-dimensional mass and moments can be extended to three dimensions rather easily. For example, mass = ESSA 1, 2) av would represent the mass of the solid Q where p(x, y, ) is the density at any point (x, y, z). Find the mass of the solid bounded laterally by the cylinder 2? + y2 = 2x and bounded above and below by the cone x2 = x2 + y2. Here, the density of the solid is proportional to the distance away from the z-axis.

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