The ratio of surface area to volume for a sphere can be expressed using the formulas for surface area ( A = 4\pi r^2 ) and volume ( V = \frac{4}{3}\pi r^3 ). Therefore, the ratio ( \frac{A}{V} ) simplifies to ( \frac{3}{r} ). This means that the surface area to volume ratio decreases as the radius of the sphere increases. For a specific sphere with known surface area ( m ) and volume, you can calculate the ratio by finding the corresponding radius.
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