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12.4 Exercise 78

Avg difficulty 2.5

The volume V V of a sphere with respect to its radius r r is given by V= 4 3 π r 3 . V = \frac{4}{3} \pi r^{3} .

Find the instantaneous rate of change of V V when r=3 cm. r = 3 \textrm{ }\text{cm} .

OpenStax Precalculus 2e, 12.4 Derivatives, exercise 78

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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.