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If the shape is a perfect sphere, then the ratio of surface area to volume will always be:

4πr2 / 4/3πr3

= 3/r

If the volume = 500m3, then we can say:

500m3 = 4/3πr3

375m3 = r3

r = 5∛3 m

So the ratio of surface area to volume on that sphere would be 3 / (5∛3 m), or:

3∛3/5m

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Q: Surface area equals 300 m2 Volume equals 500 m3. What is the ratio of surface area to volume for a sphere with the following measurements?
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