LaTex check
A solid sphere of uniform density and radius \( R \) cools radiatively with a time constant \( \tau \) as per the following expression:
\[
T(t) = T_s + (T_h - T_s)e^{-t/\tau},
\]
where \( T_h \) is the initial temperature of the object and \( T_s \) is the surrounding temperature. Then,
\begin{itemize}
\item \textcolor{red}{\sout{1. \( \tau \propto R^2 \)}}
\item \textcolor{red}{\sout{2. \( \tau \propto R^3 \)}}
\item \textcolor{red}{\sout{3. \( \tau \propto R^0 \)}}
\item \textcolor{green}{\checkmark \, 4. \( \tau \propto R \)}