Enter the surface area, radius, and height of the cake into the calculator to determine the missing variable.
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Cake Surface Area Formula
The following formula is used to calculate the surface area of a cake for given radius and height.
A = 2πr(r + h)
Variables:
- A is the surface area of the cake
- π 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 surface area of a cake refers to the total area that covers the outer surface of the cake. This includes the top, bottom, and the side surface area. Calculating the surface area is essential for various purposes, such as determining the amount of icing needed to cover the cake or for packaging purposes. The surface area is usually measured in square centimeters (cm²).
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 = 2πr(r + h) to calculate the surface area.
- Insert the values of radius and height into the formula and calculate the result.
- After inserting the values and calculating the result, check your answer with the calculator above.
Example Problem :
Use the following variables as an example problem to test your knowledge.
Radius (r) = 10 cm
Height (h) = 5 cm