Volume in a Muffin

Calculator how many milliliters, centiliters, deciliters or liters a muffin contains.

A muffin tin is mathematically a truncated cone. The tin is filled above the brim and slightly overflows. How strong the overflowing part is has to be estimated.

Example: a muffin with a bottom diameter of 5 centimeters, a top diameter of 6 centimeters, a tin height of 4 centimeters and an overhang of 3 centimeters, i.e. a total height of 7 centimeters, with an overflowing portion of 10% of the upper part has a volume of about 200 milliliters.

Please enter diameters, heights and overflowing portion. The content in milliliters (ml), centiliters (cl), deciliters (dl) and in liters (l) will be calculated.

This muffin has a bottom diameter of 5.5 centimeters, a top diameter of 6.5 centimeters, a tin height of 3 centimeters and a total height of 6 centimeters and an overflowing portion of 2% of the upper part. Its volume is also about 200 milliliters.

The overflowing part of a muffin has a rather vague shape, which makes it impossible to calculate exactly. Hence the good old but very inaccurate method of estimation. There is a part that has to be included, these are the overlapping sides. It should also be noted that the height is measured at the highest point, but the height decreases from there to the edge. Therefore, something has to be subtracted from the estimate, the flatter the muffin, the less it is.
The shortcomings of this method make the calculation of such shapes difficult. A muffin that deviates only slightly from the truncated cone shape can be calculated quite well with it. However, the greater the individual deviation from this shape, the greater the potential error and the less one should rely on the result.