V 4 3 pi r 3 solve for r

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Solve for r . V =4/3πr^3​

Answered by admin @


Answer:

r = \sqrt[3]{ \frac{3v}{4\pi} } \\

Step-by-step explanation:

v = \frac{4\pi {r}^{3} }{3} \\ 3v = 4\pi {r}^{3} \\ \frac{3v}{4\pi} = {r}^{3} \\ {r}^{3} = \frac{3v}{4\pi} \\ r = \sqrt[3]{ \frac{3v}{4\pi} }


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