Imagine a spherical balloon filled with gas whose volume V is increasing at a constant rate of 3 m³/min. How fast is the radius r of the balloon increasing at the moment when the surface area S of the balloon is 27 m²? You do not need to simplify your answer, but you do need to provide NOTE: You may need the following formulas for the volume V and surface rea S of a sphere of radius r: units. V = πr³ and S = 4är². 3

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