# geometry

if 6 oz of dough are needed to make an 8-in. pizza, how much dough will be needed to make a 16-in. pizza of the same thickness? (compare the areas of the pizza tops)

i don't know what to do

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1. Set up a ratio oz/in. so you have 6/8 to x/16. Then you cross mutiply so you have 16*6=8x. 16*6=96 ,SO 96=8x. Then you divide 96 by 8 to get 12. so you will need 12 oz. of dough

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posted by Jessie
2. or you could just notice that the numbers are just double and double 6 to=12

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posted by TIM
3. the answers 24. i looked at the answers cus i thought it was 12 too

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posted by anna
4. nope. i figured it out. you have to use pi to find the areas of both pizzas and then their ratio is 1:4 so 6*4 = 24

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posted by anna
5. you do not need pi. It cancels.
r1 = 4 inches
r2 = 8 inches
since thickness is the same:
volume2 = volume1 (pi r2^2 /pi r1^2)
volume2 / volume 1 = (8^2/4^2) = 4
so
volume2 = volume1 * 4
mass2 = 6 * 4 = 24

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posted by Damon

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