aidenstolz aidenstolz
  • 16-02-2022
  • Mathematics
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The formula for the volume of a sphere is. What is the formula solved for r?

Respuesta :

mathstudent55
mathstudent55 mathstudent55
  • 16-02-2022

Answer:

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

Step-by-step explanation:

[tex] V = \dfrac{4}{3}\pi r^3 [/tex]

[tex] \dfrac{4}{3}\pi r^3 = V [/tex]

[tex] \pi r^3 = \dfrac{3V}{4} [/tex]

[tex] r^3 = \dfrac{3V}{4 \pi} [/tex]

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

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