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The Radius of a Spherical Balloon Increases at a Rate r2\mathrm { r } ^ { 2 }

Question 51

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The radius of a spherical balloon increases at a rate of 1 mm/sec. How fast is the surface area increasing when the radius is 10mm? (Note: The surface area S of a sphere of radius r is S = 4π r2\mathrm { r } ^ { 2 } .) Enter just a real number (no approximations, no units or words).

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