Respuesta :

Answer:

r = [tex]\sqrt[3]{\frac{3V}{4\pi } }[/tex]

Step-by-step explanation:

Given

V = [tex]\frac{4}{3}[/tex]πr³

Multiply both sides by 3 to clear the fraction

3V = 4πr³ ( isolate r³ by dividing both sides by 4π )

[tex]\frac{3V}{4\pi }[/tex] = r³ ( take the cube root of both sides )

[tex]\sqrt[3]{\frac{3V}{4\pi } }[/tex] = r