Problem

Volume of a sphere: V(r) = The volume of a sphere is given by the function shown, where V(...

Volume of a sphere: V(r) =

The volume of a sphere is given by the function shown, where V(r) is the volume in cubic units and r is the radius. Note this function belongs to the cubic family of functions. (a) Approximate the value of to one decimal place, then graph the function on the interval [0, 3]. (b) From your graph, estimate the volume of a sphere with radius 2.5 in., then compute the actual volume. Are the results close? (c) For V = , solve for r in terms of V.

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