Calculate Liters in a Pie Slice
Calculator how many milliliters, centiliters, deciliters or liters a pie slice contains.
Mathematically, a pie slice is a cylindrical sector. The angle of the pie slice can have any value between 0 and 360 degrees. However, if you want the slices of the pie to be the same size with no leftovers, then the angle must be an integer fraction of 360°.
Example: a piece of cake with a height of four centimeters and a side length of ten centimeters, which makes up one sixth of the entire cake, has a volume of a bit more than a fifth of a liter (0.21).
Please enter angle or number of slices, height and side length. The side length is the radius or half the diameter of the pie. The volume in milliliters (ml), centiliters (cl), deciliters (dl) and in liters (l) will be calculated.
This piece of cake, of which the cake had 12 pieces, is 4.5 cm high and 13 cm long. So it contains just under 2 deciliters. Not counting that the rim is slightly higher than the center of the cake and not quite straight.
Of course, this shape isn't just used for cakes and pies, or for other foods like pizza. For example, the compartments of revolving shelves can be shaped this way. Dividing into pie slices is one way to divide cylindrical objects in a specific ratio. The other way is lengthwise, which results in further cylinders as individual pieces. The two-dimensional equivalent, the pie chart, is often used to visualize statistical quantities.
In the case of cakes and pies, the volume of the finished baked good doesn't correspond to the volume of the ingredients used, because the density changes during mixing and baking. Yeast causes them to rise; it increases in size for the same mass, so their density decreases.
Last updated on 02/07/2026. Author: Jürgen Kummer
Here you can convert metric volume units into customary and imperial units.
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