Finding mass and center of mass of solid

[Jaqsan]

Homework Statement

Find the mass and the center of mass of the solid E with the given density function ρ(x,y,z). E is bounded by the parabolic cylinder z = 1 – y2 and the planes x + 4z = 4, x=0, and z=0; ρ(x,y,z) =6.
m=?
x=?
y=?
z=?

Homework Equations

z = 1 – y2 and the planes x + 4z = 4, x=0, and z=0; ρ(x,y,z) = 6.

The Attempt at a Solution

I got m = 96/5 but I'm not sure how to figure out x,y and z.

 

[SteamKing]

What is the definition of the centroid of a solid body?