a
In steady state
$I \pi R ^2= $$ \sigma\left( T ^4- T _0^4\right) 4 \pi R ^2$
$\Rightarrow $$ I =\sigma\left( T ^4- T _0^4\right) 4$
$\Rightarrow $$ T ^4- T _0^4=40 \times 10^8$
$\Rightarrow $$ T ^4-81 \times 10^8=40 \times 10^8$
$\Rightarrow $$ T ^4=121 \times 10^8$
$\Rightarrow $$ T \approx 330 K$