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