Cake Problem

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Source: — Problem Solving |

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by Night reader » Sat Oct 30, 2010 10:48 am
N:Dure wrote:??
pr^2 (big cake)/pr^2 (small cake), p=3,14
r (big cake) = 6, r (small cake) = 4

36/16=2 1/4
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by N:Dure » Sat Oct 30, 2010 11:51 am
So u just divide both areas together?

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by Night reader » Sat Oct 30, 2010 12:04 pm
N:Dure wrote:So u just divide both areas together?
please consider the constant values and solve for variables -
const given = depth
variables needed = diameters>>>> radius

since the difference in cake volumes is counted with the height of big and small cakes, depth is being const i.e.
h (big cake) /h (small cake) = 1

we need to find the ratio of big cake's area to that of small cake, p*r(big cake) ^2 / p*r(small cake) ^2, p/p=1 and 36/16 = 2 1/4
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