Question

The formula for the volume of a sphere is mc012-1.jpg. What is the formula solved for r? mc012-2.jpg mc012-3.jpg mc012-4.jpg mc012-5.jpg

Answer 1

we know that

The volume of the sphere is equal to

`V=(4)/(3) \pi r^(3)`

where

r is the radius of the sphere

Solve for r

`V=(4)/(3) \pi r^(3)\\\\3V=4\pi r^(3)\\ \\r^(3)=(3V)/(4\pi)\\ \\r=\sqrt[3]{(3V)/(4\pi)}`

therefore

the answer is

`r=\sqrt[3]{(3V)/(4\pi)}`