Answer:
B. [tex]r=\sqrt[3]{\displaystyle\frac{3x}{4\pi}}[/tex]
Step-by-step explanation:
Hi there!
[tex]x=\displaystyle\frac{4}{3} \pi r^3[/tex]
Multiply both sides by 3/4:
[tex]\displaystyle\frac{3x}{4}= \pi r^3[/tex]
Divide both sides by π:
[tex]\displaystyle\frac{3x}{4\pi}=r^3[/tex]
Take the cube root of both sides:
[tex]\sqrt[3]{\displaystyle\frac{3x}{4\pi}} =r\\\\r=\sqrt[3]{\displaystyle\frac{3x}{4\pi}}[/tex]
I hope this helps!
