OpenStax, Algebra and Trigonometry 2e §5.7 Inverses and Radical Functions · Exercise 73 · Algebra · Polynomials

Inverses and Radical Functions · Exercise 73

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

The surface area, $A,$ of a cylinder in terms of its radius, $r,$ and height, $h,$ is given by $A = 2 π r^{2} + 2 π r h .$ If the height of the cylinder is 4 feet, express the radius as a function of $A$ and find the radius if the surface area is 200 square feet.

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OpenStax, Algebra and Trigonometry 2e · §5.7 Inverses and Radical Functions · Exercise 73

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