You find a job as part of a team doing oceanic research. the team is going to monitor water temperature, salinity, ph, etc. to do this, the team is going to use an instrument package contained in a hollow, aluminum sphere. the aluminum sphere has an outer diameter of 1.00 m and a thickness of 1.00 mm·(use 2.70 g/cc for the density of the aluminum) the aluminum sphere will be supported by a tether connected to a solid styrofoam sphere that is also of 1.00 m diameter. (use 300.0 kg/m3 for the density of styrofoam)

a) your task is calculate the maximum weight that the instrument package can be without the whole thing sinking.
b) the team cannot change the size of the spheres or the material they are made of, but what suggestion can you make that would increase the maximum possible weight of the instrument package?