Solve {l}{v=4/3pir^3}{v=41/3*3.14*6^3}

$$\left. \begin{array} { l } { v = \frac { 4 } { 3 } \pi r ^ { 3 } } \\ { v = \frac { 41 } { 3 } \cdot 3.14 \cdot 6 ^ { 3 } } \end{array} \right.$$

Solve for v, r (complex solution)

$$r=\frac{3\sqrt[3]{\frac{32185}{\pi }}}{5}\approx 13.031241618\text{, }v=9269.28$$

$$r=\frac{3\sqrt[3]{\frac{32185}{\pi }}e^{\frac{i\times 2\pi }{3}}}{5}\approx -6.515620809+11.285386284i\text{, }v=9269.28$$

$$r=\frac{3\sqrt[3]{\frac{32185}{\pi }}e^{\frac{i\times 4\pi }{3}}}{5}\approx -6.515620809-11.285386284i\text{, }v=9269.28$$

Solve for v, r

$$r = \frac{3 \sqrt[3]{\frac{32185}{\pi}}}{5} \approx 13.031241618$$

$$v=9269.28$$