Answer
$365.24$
Work Step by Step
Step 1. Let $T$ be the kelvin temperature of the object. From the given conditions, we have $R=kT^4$
Step 2. We have $213.73=k(293)^4$, thus $k=\frac{213.73}{(293)^4}$
Step 3. For $T=335\ K$, we have $R=\frac{213.73}{(293)^4}(335)^4\approx365.24$
