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What is the ratio of surface area to volume for a sphere with the following measurements?

surface area: 588m^2
volume: 1372^3

1 Answer

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Final answer:

The ratio of surface area to volume for a sphere can be found using the formulas for surface area and volume. Without knowing the radius of the sphere, we cannot determine the exact value of the ratio.

Step-by-step explanation:

The ratio of surface area to volume for a sphere can be found using the formulas:

Surface Area = 4πr²

Volume = (4/3)πr³

Substituting the given measurements into the formulas, the surface area of the sphere is 588m² and the volume is 1372³. Using these values, we can calculate the ratio:

Ratio = Surface Area / Volume = (4πr²) / (4/3)πr³

Cancelling out π and simplifying the equation gives:

Ratio = 3r / r²

Since the radius is not given, we cannot determine the exact value of the ratio without knowing the radius.

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