The formula to scale is the same no matter what size round pans you want to change out.
Scale round cake pan
ROUND I will use 8” & 10” pans for this example
STEP 1: FIND AREA OF THE PANS
r² • π = AREA
(radius squared x pi = area)
Radius is 1/2 of the diameter. pi = 3.14
- Find the radius: 8 ÷ 2= 4
- Square the radius: 4 x 4 = 16
- Multiply radius by pi: 16 x 3.14 = 50.24
- Area of 8” round pan: 50.24
- Find the radius: 10 ÷ 2= 5
- Square the radius: 5 x 5 = 25
- Multiply radius by pi: 25 x 3.14 = 78.5
- Area of 10” round pan: 78.5
STEP 2: DIVIDE THE AREA OF THE LARGER PAN INTO THE AREA OF THE SMALER PAN
78.5 ÷ 50.25 = 1.56
The quotient 1.56 is used as the multiplier
STEP 3: MULTIPLY EACH INGREDIENT BY THE MULTIPLIER
To scale up to a 10” pan, multiple each ingredient by 1.56.
Example ingredients from recipe below:
- water 51.6 x 1.56 = 80.49 ml - use 80 ml of water for a 10” tin
- semi sweet chocolate 64.5 x 1.56 = 100.62 g — use 101 g semi sweet chocolate for a 10” tin
- egg yolk 51.6 x 1.56 = 80.49 ml — use 80 ml egg yolk for a 10” tin
- canola oil 46.44 x 1.56 = 72.44 — use 72 ml for a 10” tin
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to scale DOWN from 10” to 8”
Divide the AREA of the smaller pan into the area of the larger pan
50.35 is the area of the 8”
78.5 is the area of the 10”
50.35 ÷ 78.5 = 0.64
0.64 is the multiplier to scale from a 10” pan down to a 8” pan.
The example recipe is for an 8” pan. Just using this recipe as an example since the steps are the same, just multiply each ingredient by the multiplier just like above.
- Water 51.6 x 0.64 = 33.0 ml
- semi sweet chocolate 64.5 x 0.64 = 41.28
- egg yolk 51.6 x 0.64 = 33.0 ml
- canola oil 46.44 x 0.64 = 29.72
Example recipe chocolate chiffon cake
| 5 - 8” cakes | baker’s percentages | 1 - 8” cake |
water | 258 ml | 60.00 | 51.8 |
semi sweet chocolate | 322.5 g | 75.00 | 64.5 |
egg yolk | 258 g | 60.00 | 51.6 |
canola oil | 232.2 ml | 54.00 | 46.44 |
vanilla extract | 8.6 ml | 2.00 | 1.72 |
cake flour, sifted | 430 g | 100.00 | 86 |
baking powder | 20 g | 4.65 | 3.99 |
baking soda | 5.71 g | 1.33 | 1.14 |
granulated sugar #1 | 516 g | 120.00 | 103.2 |
Egg whites | 455.8 ml | 106.00 | 91.16 |
granulated sugar #2 | 240.8 g | 56.00 | 48.16 |
cream of tartar | 3.87 g | 0.009 | 0.77 |
| | | |
| Total Batter Weight | Total Baker’s Percentages | Total Batter Weight |
| 2751.48 g | 638.99 | 550.28 |
550g per 8” pan | | | |