An enzyme has a molecular weight of $595\mathrm{.}00$ kD and undergoes a change in shape upon binding of substrate inhibitors. This change has been characterized by ultracentrifugation. In the absence of any ligands, a sedimentation coefficient of $92\mathrm{.}50$ S was measured. The solvent density was $1\mathrm{.}00$ g$/$cm$3,$ the viscosity was $1\mathrm{.}005$ cP$,$ and the specific volume of the protein was $0\mathrm{.}732$ cm$3$ g$-1$ What is the radius of protein in angstroms assuming it to be a sphere?