Adistributor of ball bearings sells packages of "remnant" ball bearings that contain a mixture of copper bearings and titanium bearingsâalong with bearings made of a proprietary alloy of several different metals. although the bearings all have the same diameter, 4.175 mm, the metals from which they are made all have different densities. the density of the proprietary alloy is 5.659 g/cm^3.packages of the remnant bearings are, on average, 30.4 percent copper bearings and 51.2 percent titanium bearings, the remainder being proprietary alloy. using the formula for the volume of a sphere, v = 4/5ïr^3, and the densities of the metals. determine the average mass of a ball bearing in one of the packages.