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Math Help - GRE Question2

  1. #1
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    GRE Question2

    A certain cake recipe states that the cake should be baked in a pan 8 inches in diameter. If Jules wants to use the recipe to make a cake of the same depth but 12 inches in diameter, by what factor should he multiply the recipe ingredients?

    The answer is 2.25

    I thought it would have been 1.5.
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  2. #2
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    Quote Originally Posted by Ideasman View Post
    A certain cake recipe states that the cake should be baked in a pan 8 inches in diameter. If Jules wants to use the recipe to make a cake of the same depth but 12 inches in diameter, by what factor should he multiply the recipe ingredients?

    The answer is 2.25

    I thought it would have been 1.5.
    cake #1 ... \pi \cdot 4^2 \cdot h

    cake #2 ... \pi \cdot 6^2 \cdot h

    \frac{6^2}{4^2} = 2.25
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