A body in space is given by the differences x2 + y2 + 22 S 4and. z 2 W First draw some figures that describe the body. Hint: This is a rotating body about the z-axis. The body has a uniform density 5 = 1. You should calculate the center of gravity.' Tips 8: Warnings You need to calculate four integrals here [you also need the mass). However, the x and y coordinates of the center of gravity can be easily determined due to symmetries in the problem. You can also change the coordinate system for easier calculation. The simplest will be enough with bullet coordinates. First find the mass m: Answer: Then find the center of gravity: x-coordinate: y-coordinate: z-coordinate: When you calculate the z-coordinate, it can be good to keep in mind its formula (20:) = 25in (at) cos (0:)