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eighth grade math prealgebra.  chapter 6 lesson 1

a can has a diameter of 3 inches and a height of 5 in. Explain whether doubling the height of the can would have the same effect on he volume as doubling the diameter.
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1 Answer

Doubling the height would double the volume, volume is proportional to height; but doubling the diameter would double the radius. Since the volume involves squaring the radius the volume would be twice that of doubling the height.

Volume V=πr2h, V1=2πr2h=2V; V2=4πr2h=4V.

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