Answer and Step-by-step explanation:
To solve for r, we need to get everything away from r. We can start off by moving five thirds, and pi.
[tex]x = \frac{5}{3} \pi r^{3}[/tex]
Multiply each side by [tex]\frac{3}{5}[/tex], then divide by [tex]\pi[/tex] (pi)
[tex]\frac{3x}{5\pi } = r^{3}[/tex]
Now, take the cubed root of both sides.
[tex]\sqrt[3]{\frac{3x}{5\pi } } = r[/tex]
^^ That is the answer.
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