Ex: Find the center of mass of the solid whose density &z and bounded above by the plane z=y, below by the xy-plane and laterally by the cylinder x² + y² = 4.

Which cylindrical surface below is perpendicular to the yz-plane? x^2 + y^2 - z^2 = 1 %3D x = y^2 + z^2 X = sqrt(y^2 + z^2/4) O y = z^2

Find the mass and the center of gravity of the cylindrical solid that has density 8(x,y,z) = 9– z and is enclosed by x? + y² = 16 , z = 0 and z = 9 5)

Find the mass of the solid bounded by the xy-plane, yz- plane, xz-plane, and the plane (x/4) + (y/3) + (z/12) = 1, if the density of the solid is given by 8(x, y, z) = x + 4y. mass=