One cubic meter $(1\mathrm{.}00$ m$3)$ of aluminum has a mass of $2\mathrm{.}70$E$+3$ kg$,$ and $1\mathrm{.}00$ m$3$ of iron has a mass of $7\mathrm{.}86$E$+3$ kg$.$ Find the radius of an aluminum sphere whose mass is the same as that of an iron sphere of radius $1\mathrm{.}33$ cm