Formula needed to solve for r is: ![r=\sqrt[3]{\frac{3V}{4\pi }}](https://tex.z-dn.net/?f=r%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B3V%7D%7B4%5Cpi%20%7D%7D)
Step-by-step explanation:
The formula for the Volume of sphere is: 
We need to find the formula to solve for r.
Finding formula of r:
![V=\frac{4}{3}\pi r^3\\V*\frac{3}{4}=\pi r^3\\\frac{3V}{4\pi }=r^3\\taking\,\,cube\,\,root\,\,on\,\,both\,\,sides:\\\sqrt[3]{r^3}=\sqrt[3]{\frac{3V}{4\pi }}\\r=\sqrt[3]{\frac{3V}{4\pi }}](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B4%7D%7B3%7D%5Cpi%20r%5E3%5C%5CV%2A%5Cfrac%7B3%7D%7B4%7D%3D%5Cpi%20r%5E3%5C%5C%5Cfrac%7B3V%7D%7B4%5Cpi%20%7D%3Dr%5E3%5C%5Ctaking%5C%2C%5C%2Ccube%5C%2C%5C%2Croot%5C%2C%5C%2Con%5C%2C%5C%2Cboth%5C%2C%5C%2Csides%3A%5C%5C%5Csqrt%5B3%5D%7Br%5E3%7D%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B3V%7D%7B4%5Cpi%20%7D%7D%5C%5Cr%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B3V%7D%7B4%5Cpi%20%7D%7D)
So, Formula needed to solve for r is:
Keywords: Volume of sphere
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