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A design on the surface of a balloon is 9 cm wide when the balloon holds 62 cm^3 of air. How much air does the balloon hold when the design is 18 cm wide?
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A=πr2 Surface area is a function of the square of the radius; therefore, when the radius doubles, the area increase by a factor of (2)2, or 4. Thus the design grows from 62 cm3 to 62x4, or 248 cm3..
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