Cake Pan Volume Calculator Formula

Understand the math behind the cake pan volume calculator. Each variable explained with a worked example.

Use the Cake Pan Volume Calculator

Formulas Used

Pan Area

pan_area = area

Volume

volume_cu_in = area * depth

Volume in Cups

volume_cups = (area * depth) / 14.4375

Recommended Batter (2/3 full)

batter_cups = (area * depth * 0.667) / 14.4375

Variables

VariableDescriptionDefault
pan_shapePan Shape1
dimension1Diameter or Length(in)9
dimension2Width (rect only, use 0 for round)(in)0
depthPan Depth(in)2
areaPan area based on shape= pan_shape * 3.14159 * pow(dimension1 / 2, 2) + (1 - pan_shape) * dimension1 * dimension2calculated

How It Works

How to Calculate Cake Pan Volume

Formulas

Round Pan Volume = pi x (diameter/2)^2 x depth

Rectangular Pan Volume = length x width x depth

Fill cake pans 1/2 to 2/3 full to allow room for the batter to rise.

Volume Conversion

1 cubic inch = 0.0693 cups (approximately 1/14.4 cups)

Worked Example

Calculate the volume of a 9-inch round pan that is 2 inches deep.

pan_shape = 1dimension1 = 9dimension2 = 0depth = 2
  1. 01Area: pi x (9/2)^2 = 63.6 sq in.
  2. 02Volume: 63.6 x 2 = 127.2 cu in.
  3. 03Volume in cups: 127.2 / 14.4375 = 8.8 cups.
  4. 04Recommended batter (2/3 full): 8.8 x 0.667 = 5.9 cups.

Ready to run the numbers?

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