The volume V and surface area of a sphere [Figure 6(A)] are expressed in terms of radius

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The volume V and surface area of a sphere [Figure 6(A)] are expressed in terms of radius r by V(r) = 43 πrand S (r) = 4πr2, respectively. Determine r(V), the radius as a function of volume. Then determine S (V), the surface area as a function of volume, by computing the composite S ◦ r(V).

(A) r (B) L

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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