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3.8 Exercise 72

Avg difficulty 2.5

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

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

OpenStax Precalculus 2e, 3.8 Inverses and Radical Functions, exercise 72

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Adapted from College Algebra © 2021 Rice University. Licensed under CC BY 4.0. Sources: College Algebra 2e, Algebra and Trigonometry 2e, Precalculus 2e, College Algebra with Corequisite Support 2e. Imported at revision 4922e46.