# geometry

A globe has a diameter of 24 inches. A smaller globe has a diameter of 18 inches. What is the surface area volume ratio of the smaller globe

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1. area = 4 pi r^2
volume = 4/3 pi r^3

So, for any sphere, the area:volume ratio is 3/r

However, I suspect that you garbled the question. Since area varies as the square of the diameter, if the diameters are in the ratio 3/4,

area is in the ratio (3/4)^2
volume is in the ratio (3/4)^3

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