Cake – Is it possible to know how much the cake weighs using a specific size of cake pan before baking

cakeMeasurementspan

I have someone asking me for a wedding cake. She wants three separate round cakes. The cakes will serve 100-150 people and the point she emphasized was it being easy to slice and share. Would two 11×3 inch cakes weigh 4 kg? I haven't baked large cake before so I'm not sure about the weight. I usually use a simple vanilla cake recipe for the base and cream cheese for the icing.
Here is the recipe in case it matters:

4 eggs
1 and 1/2 cups sugar
1 cup oil
1 cup buttermilk
2 and 1/2 cups flour
2 and 1/2 tsp baking powder
1 tsp baking soda
1 tsp vanilla powder

Best Answer

It is a question of scaling.

  • In chat you told us the given recipe was for a 23 cm pan.
  • I'll ignore height for now, assuming the same height for all pan sizes, because that can be adjusted in a second step.

The math:

  • The cake batter for round cakes fills a cylinder.
  • The volume of which is base circle area x height, ignore height as stated above.
  • The formula of a circle is pi x r2. As pi is constant, ignore it.
  • So for scaling, you only need to look at the radius (1/2 diameter) of the pans - or even the diameters.

Divide the desired diameter (or radius) by the original one and square the result.

-> Use that value to multiply all ingredients.

Further adjustments:

Height scales linear - for a cake that is 1.5 times as high as the original, you need 1.5 times the batter etc.

So for your question:

To go from a 23cm / 9in cake to a 28cm / 11in cake,
you need (28/23)2 = 1.48 times the original recipe.

My personal gut feeling: three of those won't feed 100-150 guests.