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