A spherical balloon is partially blown up and its surface area is measured. More air is then added, increasing the volume of the balloon. If the surface area of the balloon expands by a factor of 9.90 during this procedure, by what factor does the radius of the balloon increase

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Chapter14: Fluid Mechanics
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Problem 14.39P: How many cubic meters of helium are required to lift a light balloon with a 400-kg payload to a...
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A spherical balloon is partially blown up and its surface area is measured. More air is then added, increasing the volume of the balloon. If the surface area of the balloon expands by a factor of 9.90 during this procedure, by what factor does the radius of the balloon increase?

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