$($b$)$ Which ball will sink? Give a reason for your answer. $($Density of $\frac{?}{\text{r}\text{o}\text{n}}=7\mathrm{.}8\frac{g}{c}{m}^3,$ Density of Water $=1000k\frac{g}{m^3})$

$($c$)$ If we were to take the spheres that float, and place them under a flat surface to make a floating raft, what is the maximum weight you could place on a $33$ sphere raft?

Assume the $9$ spheres are naturally attached to each other in a square shape and the flat surface placed over them has no weight. Hint: The maximum buoyancy is found at each sphere floating just under the surface of the water and remember that the spheres do have weight.

Figure $2$How to solve