V=32^3\Pi
V=\frac{4}{3}\Pi R^3
\frac{4}{3}\Pi R^3=32^3 \Pi
\frac{4}{3} R^3=32^3
R^3=32^3*\frac{3}{4}
R=\sqrt[3]{32^3*\frac{3}{4}}
R=32\sqrt[3]{\frac{3}{4}}=32\frac{\sqrt[3]{3}}{\sqrt[3]{4}}=32\frac{\sqrt[3]{3}*\sqrt[3]{4}}{\sqrt[3]{4}*\sqrt[3]{4}}=32\frac{\sqrt[3]{12}}{4}=2^5\frac{\sqrt[3]{12}}{2^2}=2^3\sqrt[3]{12}