Two spherical bodies A (radius 6 ~cm ) and B (radius 18 ~cm ) are...

Two spherical bodies $A$ (radius $6 \mathrm{~cm}$ )$and B$ (radius $18 \mathrm{~cm}$ ) are at temperatures $T_1$ and $T_2$, respectively. The maximum intensity in the emission spectrum of $A$ is at $500 \mathrm{~nm}$ and in that of $B$ is at $1500 \mathrm{~nm}$. Considering them to be black bodies, what will be the ratio of the rate of total energy radiated by $A$ to that of $B$ ?