Ellipsoid Volume Calculator

Calculate the volume of an ellipsoid, either full or half size, plus how much liquid it can hold in ounces, cups, gallons, liters and more. Common shapes that are full ellipsoids are a football, watermelon, the ever popular plain M&M® candy; Many pottery vessels are half elliptical, including oval bowls. You can also calculate volume for shallow and tall round bowls with this calculator: though mathematically these are spheroids where 2 of the 3 axes are identical, the elliptoid formuala is the same.


(See below for Full versus Half)

(See below for Full versus Half)

(See below for Full versus Half)

(Examples: FULL=football, watermelon; HALF=Oval Bowl)

Applies to all dimensions above

Entry Fields for Full Versus Half Ellipsoid

To use this calculator, indicate if the ellipsoid is a full ellipsoid, or a half ellipsoid. Examples of full ellipsoids are watermelons, footballs, Skittles® candy. Examples of half ellipsoid are an oval or dome shape bowl.

If calculating for a full ellipsoid, specify the radius of the object's length (left to right at the longeset part), depth (front to back at the widest part) and height (top to bottom at highest point).

Remember that the radius for each measurement is half of the diameter, which is the measurements you are making. For example, if the length of an oval bowl from left to right is 5 inches (the dimater for this axis), the radius is half of that, which is 2.5 inches.

If calculating for a half ellipsoid, your object's height (measure at tallest location) is already halved and therefore is already the radius, so make sure not to halve the measurement again. The height and depth radius are the same as for the full ellipsoid, outlined above.

Ellipsoid Volume Calculator FYIs...

To calculate, enter the radius of the 3 axes of the ellipsoid. For each, measure the diameter at the longest point. Remember that the radius is half of the diameter, so divide the measurement by 2.

Note for Height, Half Ellipsoid: If calcuating for a half ellipsoid, do not divide the height by 2 because the object is already half height.

Full Ellipsoid Volume Calculation

Volume is how much liquid the elliptical object can hold. The formula to calcuate ellipsoid volume is:

Volume = 4/3 π abc

where a is the radius of the first axis (length, left to right), b is the radius of the second axis (depth, front to back), and c is the third axis (height, top to bottom). π (pi) is approximately 3.14

Half Ellipsoid Volume Calculation

Volume is how much liquid the elliptical object can hold. The formula to calcuate ellipsoid volume is:

Volume = 2/3 π abc

where a and b is the radius of length and depth, as defined above for full ellipsoid; And c is the height of the half ellipsoid. π (pi), as usual, approximately 3.14.

The result of calculating the ellipsoids's volume is in cubic inches or centimeters. Using the volume, the liquid capacity of the eilliptical object is calculated in several common metrics (cups, ounces, litres, etc.)