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Relation of Radius, Surface Area, and Volume of a Sphere

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Imagine that you are blowing up a spherical balloon at the rate of . How do the radius and surface area of the balloon change with its volume? We can find the answer using the formulas for the surface area and volume for a sphere in terms of its radius.

Contributed by: Joe Bolte (March 2011)
Open content licensed under CC BY-NC-SA

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