A solid has the shape of the region bounded by the paraboloid and the plane The density at (x,y,z) is Find the center of mass of this solid.
For double integral problems, the center of mass coordinates would be x= My/m and y= Mx/m (where Mx and My are moments of x and y, and m is mass), but I'm not sure how to go about what looks like to be a triple integral problem.
To find the moments of x, y, and z, would you simply take the triple integral of each variable times the density ?
Appreciate any help. Thanks!