V of w sphere = \(\frac{4}{3}\)\(\pi\)r³
Multiply by 3 on either sides to get rid of the fraction.
\(V * 3 = \frac{4}{3} *3 \pi r^3\)
3V = 4\(\pi\)r³
Now divide either sides by 4\(\pi\) to isolate r³
\(\frac{3V}{4 \pi } = \frac{4 \pi }{4 \pi }\)r³
4\(\pi\) and 4\(\pi\) cancels out
\(\frac{3V}{4 \pi }\) = r³
Take the cube root to isolate r.
\(\sqrt[3]{ \frac{3V}{4 \pi } } = \sqrt[3]{r^3}\)
the cube root cancels the cube
\(\sqrt[3]{ \frac{3V}{4 \pi } }\) = r
