Question

The formula for the volume of a sphere is V =

Answer 1

Formula needed to solve for r is: $r=\sqrt[3]{\frac{3V}{4\pi }}$

Step-by-step explanation:

The formula for the Volume of sphere is: $V=\frac{4}{3}\pi r^3$

We need to find the formula to solve for r.

Finding formula of r:

$V=\frac{4}{3}\pi r^3\\V*\frac{3}{4}=\pi r^3\\\frac{3V}{4\pi }=r^3\\taking\,\,cube\,\,root\,\,on\,\,both\,\,sides:\\\sqrt[3]{r^3}=\sqrt[3]{\frac{3V}{4\pi }}\\r=\sqrt[3]{\frac{3V}{4\pi }}$

So, Formula needed to solve for r is: $r=\sqrt[3]{\frac{3V}{4\pi }}$

Keywords: Volume of sphere

Learn more about Volume of sphere at:

• brainly.com/question/12497249
• brainly.com/question/6443737
• brainly.com/question/8301701

#learnwithBrainly