Choose a surface-area solve, recipe scale factor, or pan-dimension estimate from servings or base area. Pan comparisons assume compatible uniform batter depth; ideal flat-ring geometry does not determine molded Bundt capacity.
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Cake Surface Area Formula
The following formula gives the total surface area of a closed cylindrical cake for a given radius and height, including the top, bottom and side.
Variables:
- A is the surface area of the cake
- ฯ is the constant pi (approximately 3.14159)
- r is the radius of the cake
- h is the height of the cake
To calculate the surface area of the cake, multiply 2 by pi, then multiply by the radius, and finally multiply by the sum of the radius and height.
What is a Cake Surface Area?
The total surface area includes the top, bottom and side of an ideal cylindrical cake. For usual top-and-side coverage, exclude the bottom: the area is ฯrยฒ + 2ฯrh, shown separately in the calculator. Area alone does not determine icing quantity; thickness, decoration and waste also matter. Use consistent length units and corresponding square units.
How to Calculate Cake Surface Area?
The following steps outline how to calculate the Cake Surface Area.
- First, measure the radius (r) of the cake.
- Next, measure the height (h) of the cake.
- Use the formula A = 2ฯr(r + h) to calculate the surface area.
- Insert the values of radius and height into the formula and calculate the result.
- Choose Total cake surface area in the calculator and enter the radius and height. Reverse solve choices find radius or height from total area.
Example Problem :
Use the following variables as an example problem to test your knowledge.
Radius (r) = 10 cm
Height (h) = 5 cm. Total surface area = 300ฯ โ 942.48 cmยฒ; top-and-side area = 200ฯ โ 628.32 cmยฒ.
