Question

Solve the eqaution x=(4)/(3)\pi r^(3) for r

Answer 1

B.
`r=\sqrt[3]{\displaystyle(3x)/(4\pi)}`

Explanation:

Hi there!

`x=\displaystyle(4)/(3) \pi r^3`

Multiply both sides by 3/4:

`\displaystyle(3x)/(4)= \pi r^3`

Divide both sides by π:

`\displaystyle(3x)/(4\pi)=r^3`

Take the cube root of both sides:

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

I hope this helps!