CAKE RECIPE ADJUSTMENT FOR PAN SIZE
I need to know how to adjust cake recipies so I can use 10" pans instead of 9"- I have tried to make the recipe but using 1 full recipe and adding another 1/2 of the same recipe for the cake and it comes out ok, but it still seems not quite right to use 1/2 a recipe for one inch.
anyone have any answers out there?
I would like to be able to apply this to any cake recipe.
According to the "volume of common pans list' I stole somewhere a 9" x 2" pan holds 8 cups. a 10" x 2" pan holds 11 cups. That ratio would be 1.375 .. approx. 1 1/3.
according to the volume calculator on my spreadsheet a 9 x 1.5 inch pan would hold 6.6 cups and a 10 x 1.5 inch pan would hold 8.2 cups a 1.24 ratio
9 x 2 inch pan holds 8.8 cups and a 10 x 2 inch pans holds 10.9 cups. also a 1.24 ratio.
So either multiply the ingredients by 1.25 or by 1 1/3 whichever is easier, you should be fine. Looks like your math is correct, danna.
Here is a link to one of the many "common pan volume" lists on the web. http://www.joyofbaking.com/PanSizes.html
Formula is pi x (radius of pan (in inches) squared) x height (in inches) = volume in cubic inches but to convert cubic inches to cups requires you to multiply it by 0.06926.
It is simple math. The 9" holds 6 cups, the 10" holds 11 cups. 11/6 =1.83. Multiply each ingredient by 1.83. That should work for any recipe. If you are more about winging it, I would make 1 3/4 recipes. You are looking at the difference in volume, not the difference in diameter.
forgive me, but that seems wrong. where are you getting your number of cups?
find the area of the circle (yes, you're looking for volume, but you just multiply the area by the depth and as long as the pans are the same depth, it gives the same result)
area = pi* radius squared
9" = 3.14*4.5*4.5 = 63.5
10"= 3.14*5*5 = 78.5
78.5 = 63.5*1.235
so, you should make 1 and 1/4 times the recipe.
somebody tell me if I'm doing something wrong!
I always do what Danna suggests -- find the area of the pan in the recipe and then find the area of the pan you want to use and make the adjustment accordingly. You can also just use the original recipe and reduce the cooking time. The 10" cake will obviously not be as high as the 9" cake. The 10" cake will also require more frosting than the 9" cake.