[tex]\bf \textit{volume of a sphere}\\\\
V=\cfrac{4\pi r^3}{3}\qquad
\begin{cases}
r=radius\\
-----\\
V=4000\pi
\end{cases}\implies 4000\pi =\cfrac{4\pi r^3}{3}
\\\\\\
\cfrac{3}{4\pi }\cdot 4000\pi =r^3\implies \boxed{\sqrt[3]{\cfrac{3000}{\pi }}=r}\\\\
-----------------------------\\\\
\textit{surface area of a sphere}\\\\
S=4\pi r^2\qquad \qquad S=4\pi \left( \boxed{\sqrt[3]{\cfrac{3000}{\pi }}} \right)^2\implies S=4\pi \sqrt[3]{\cfrac{9000}{\pi^2}}[/tex]
