Inverses and Radical Functions · Exercise 68

Determine the function described and then use it to answer the question.

The volume, $V,$ of a sphere in terms of its radius, $r,$ is given by $V\left(r\right)=\frac{4}{3}\pi r^3.$ Express $r$ as a function of $V,$ and find the radius of a sphere with volume of 200 cubic feet.

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Algebra and Trigonometry 2e · §5.7 Inverses and Radical Functions · Exercise 68