Option C: [tex]r = \sqrt[3]{\frac{3V}{4\pi} }[/tex] is the right answer
Step-by-step explanation:
Given formula for volume of a sphere is:
[tex]V = \frac{4}{3}\pi r^3[/tex]
We have to make r the subject of the formula
Multiplying equation by 3/4
[tex]\frac{3}{4}V = \frac{4}{3} * \frac{3}{4} \pi r^3\\\frac{3}{4}V = \pi r^3[/tex]
Dividing both sides by pi
[tex]\frac{3}{4\pi}V =\frac{ \pi r^3}{\pi}\\\frac{3V}{4\pi} = r^3[/tex]
Taking cube root on both sides
[tex]\sqrt[3]{\frac{3V}{4\pi} } = \sqrt[3]{r^3} \\ r = \sqrt[3]{\frac{3V}{4\pi} }[/tex]
Hence,
Option C: [tex]r = \sqrt[3]{\frac{3V}{4\pi} }[/tex] is the right answer
Keywords: Volume, Sphere
Learn more about volume at:
- brainly.com/question/12973601
- brainly.com/question/13063819
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