Inverses and Radical Functions · Exercise 74

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

The volume of a right circular cone, $V,$ in terms of its radius, $r,$ and its height, $h,$ is given by $V=\frac{1}{3}\pi r^{2}h.$ Express $r$ in terms of $V$ if the height of the cone is 12 feet and find the radius of a cone with volume of 50 cubic inches.

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 74