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

question 51

Short Answer

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 $\mathrm { r } ^ { 2 }$ .) Enter just a real number (no approximations, no units or words).

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Definitions:

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